I don't want to hold babies
I am not sure why you would say this? Why do you not like to hold babies?
I have psychological issues and don't want to hold them.
If you don't want to hold a baby and it makes you uncomfortable, you don't have to do it. It's your right.
What do you mean by it's my right not to do it? Shouldn't everyone be forced to hold a baby?
It is best for people to only hold a baby if they feel comfortable doing so. It is a bit of a responsibility.