Tell me, have I ruined my teeth forever? Am I destined to lose them?

I am 28 years old. Female. I have 20 cavities and most between my teeth. What is so odd is that my teeth look beautiful. They are straight, white, strong. I had bulimia for 11 years that ended 2 years ago with therapy. I went to the dentist in that time every 6 months but never told him about the bulimia. I would vomit at least 15 times a day for 10 years straight. There are a few "pot marks" on my teeth, but nothing you can see unless I tilt my head in the light. I am guessing these cavities have been there for a while, but since they never did a "fmx" x-ray (whatever that is) they just never caught them. Only the 2 that I had filled in my molars are the ones they have mentioned over the years. I knew having bulimia would ruin my teeth, but since they are so pretty I just umed there was no damage. I want to keep my teeth obviously so my question is this: If you have 20 fillings, will that much work destine my teeth to eventually fall out or need veneers? When I get the fillings will that fix the small cavities I have and will I be able to have healthy teeth from now on since my bulimia is ended, or am I destined to have veneers or dentures. I have just never heard of anyone having 20 cavities and keeping their teeth : (