I need an adverb to show both surprise and fear. Can we use shockingly or worriedly? For example,
He asked shockingly.
I'd say "no," on shockingly, as it implies that he asked rudely.
And there is no inherent "surprise" in worriedly.
For both "surprise and fear" my first thought is startlingly. I like alarmingly, too.
I've been reading The Wonderful Wizard of Oz recently and though I can't think of anything off the top of my head, it is definitely a study in adverbs of the type you seek, with a story that is many moments of surprise and fear.
Also: more context would help a lot.