This is a 50/50 decision isn't it? On the one hand, like you, I wouldn't want to worry my mother. (Sadly, she's no longer here.) On the other hand, if my daughter didn't tell me about having an operation I'd be angry, and very hurt, that she had excluded me from her life.
Weighing it all up, I think I'd tell her, but ask her not to visit you until after the operation. Assure her that your husband will keep her updated as to what's going on. That will, at least, put her mind to rest. (And make sure that he does!)
Good luck, and a speedy recovery to you!