It would matter to me. If I was seeing someone that didn't believe DID exists, then it would cause me a lot of issues. I already have to talk to many people who don't believe a person can have alters, and when I tell them that I do, it gets really frustrating. If I didn't believe DID was possible, it wouldn't bother me. But if I am on the fence about it being a possibility for me, I woulnd't want to see someone who didn't believe in it helping me out, as I would feel that their answer will not be based on facts, but already made up before starting to look into it.
Because you say she's good with the ptsd and anxiety, it would make it more difficult. If it were me and I were comfortable with it, I'd ask her what about it she didn't believe, and what her thoughts were on cases that have been diganosed. There are many different levels of belief when it comes to dissociation, as well as different levels of the dissociation itself. Nothing is ever black and white, either/or. It would be important to me that she be willing to have an open mind if I were to keep workign with her. Is finding someone else for the dissociation issues, while still seeing her, and option? That might be a route to go. Or looking for a second opinion. You should never feel pressured or guilty by a health professional for seeking a second opinion.
good luck with it

IJ