The only word that comes to my mind is tiptoe. However, this word implies that you are walking stealthily or cautiously.
Is there a word that just means to walk slowly?
Without knowing what I was doing, I _ toward her.
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I would suggest amble:
- to go at a slow, easy pace; stroll; saunter:
- a slow, easy walk or gentle pace.
Your sentence would then be:
Without knowing what I was doing, I ambled toward her.
As that definition suggests, strolled or sauntered may also work for you.
Depends on what kind of a slow walk you are looking for.
walk doggedly and slowly with heavy steps.
e.g. She plodded into the kitchen after a tiresome day.
move in a slow, heavy, awkward way.
(of a person) move with a slow, shuffling, awkward gait.
So the answer would be, "Without knowing what I was doing, I plodded/shambled/lumbered towards her".
move slowly and idly in a particular direction.
This is the word I would use.
If it's done in a relaxed and leisurely manner, then you "moseyed toward her".
to walk or go slowly, usually without a special purpose:
I'll just mosey on down to the beach for a while.
I'd say the closest synonym is "saunter" (and it's the first word I thought of when I came across this question but saw that I'd been beaten to it) and I'd also say it's perhaps more common in AmE than BrE.
to walk in a leisurely or idle manner
Without knowing what I was doing, I drifted toward her.
[with adverbial of direction] Walk slowly, aimlessly, or casually. Definition from Oxford Dictionary
Without knowing what I was doing, I tended toward her.
[no object, with adverbial] Go or move in a particular direction. Definition from Oxford Dictionary
I do agree that the second usage is very rare, so maybe a better option would be
I tended to move toward her
I would suggest gravitated:
move towards or be attracted to a person or thing. "young western Europeans will gravitate to Berlin"
[physics] move, or tend to move, towards a centre of gravity or other attractive force.
Your sentence would then be:
Without knowing what I was doing, I gravitated toward her.
Or it may suit to extend the orbit theme with:
Without knowing what I was doing, I gravitated into her sphere of influence.
There's an implication that your character's path is altered by proximity to her, and that the closer their proximity, the faster they move/quicker things happen. This allusion to orbital mechanics may suit your story.
Note there's a follow-on that gravitating too close may lead to a collision. Depending on rest of the story, this may be seen as foreshadowing the impact/destruction of one's way of life/all dinosaurs on earth.
How about sidle?
To advance in an unobtrusive, furtive, or coy way: swindlers who sidle up to tourists.
In your sentence:
Without knowing what I was doing, I sidled toward her.
Examples from the Merriam Webster page:
He sidled up to me and slipped me a note.
She sidled over and whispered, “Do you see that guy?”.
Trudge may be suitable in some contexts.
Trudge: to walk or march steadily and usually laboriously
Amble: to go at a slow, easy pace
Traipse: to walk or go aimlessly or idly or without finding or reaching one's goal
Mope: to move or act in an aimless way
Linger: to walk slowly
Drift: to wander aimlessly
Dilly-dally: To idle; dither in an aimless or pointless fashion
Meander: to wander aimlessly
Wander: to go aimlessly, indirectly, or casually
Trundle is pretty much perfect for this. In this case, "trundled towards"
from oxforddictionaries.com definition 1.1 :
(of a person) move heavily and slowly. ‘she heard him coughing as he trundled out’
shuffle - 1. To walk without lifting the feet or with clumsy steps and a shambling gait.
Without knowing what I was doing, I shuffled toward her.
The dictionary I often use gives edged. I like that because that is the way I would approach the edge of a cliff.
To move gradually or hesitantly: The child edged toward the door.
It introduces an element of danger or fear. Of course it would depend on the context.
Dandered - Verb
(Ulster) To walk along with no particular haste.
To dander along the beach.
Stalked verb (used without object)
to pursue or approach prey, quarry, etc., stealthily.
to walk with measured, stiff, or haughty strides: He was so angry he stalked away without saying goodbye.
Like several other answers here, this one will depend heavily on the context of the movement as to whether this is the appropriate type of movement.
Another option is skulk:
To move about stealthily.
However it does carry a connotation of sneaking out of shame or embarassment. I wouldn't use it if the primary underlying factor is subconscious attraction, but I might if I were trying to additionally impart the subject with shyness or social awkwardness.
For walk slowly I like Perambulate:
walk or travel through or around a place or area, especially for pleasure > and in a leisurely way.
(similar to meander and saunter)
Though this, and many other answers here, seem to convey a sort of intentional type of slow movement. Your sentence example, wherein the subject seems hypnotized, lends itself more to drift (as is mentioned in AndyT's comment) or perhaps float?
Sorry for the short answer all - I'm more used to Stack Overflow where short answers are treated like royalty :D
I still like meander as it has a whimsical connotation - which the provided example seems to be wanting. It was pointed out that prance has an energy to it that makes it incompatible but shuffled is still a decent option, though a bit defeated sounding for OP's example...
Stepped is still workable - just a bit dull.
I would say of my previous suggestions, meander holds up the best.