I don't like the frequency with which the word "automatically" has been used.
Frequently, the more appropriate word should be "spontaneously".
I have even seen the usage "automatic door" labeled on a door operated "remotely" by a bus driver.
Take the following as an example of the dire situation of the misuse:
A hotel entrance is a wide bi-leaf glass French door. Two gentlemen, one on each side of door would spontaneously open each leaf of the door whenever someone gets near the entrance of the door, to either exit or enter.
The concierge goes on to assure guests that the door will be opened "automatically" by these two gentlemen whenever anyone gets near the entrance.
Another example is of students in a classroom saying,
Mrs D is nice. She always smiles "automatically" when you look at her.
Regardless that spontaneity is implied (though I do not agree) by "shortly", I would encourage the following,
The answer will appear spontaneously, shortly.
Alternatively,
A spontaneous answer will appear shortly.
However, if you insist,
An automated response will appear shortly.
Spontaneous, due to spontaneous response to your non-automatic stimulus on the keyboard, perhaps. An automatic response is spontaneous, but a spontaneous response need not be an automatic one.
If an answer is to appear randomly and not as response to stimulus:
The non-spontaneous answer will appear shortly.