Single word request for not liking to be touched

Solution 1:

You can use "touch aversion", if it is not on extreme side of dislike or fear or aversion. If it is extreme (dislike, fear, or aversion), then it is called Haphephobia.

https://en.wikipedia.org/wiki/Haphephobia

Haphephobia is a rare specific phobia that involves the fear of touching or of being touched.

According to Oxford dictionary the word phobia is described as

An extreme or irrational fear of or aversion to something.

If you have ever seen the television sitcom The Big Bang Theory, then the character Sheldon Cooper has this fear of touch called Haphephobia.

There are few other closely related "fear of touch": Aphenphosmphobia, Aphephobia, Chiraptophobia, and Haptephobia.