These don't sound like warts to me. Your doctor may also "believe" they're warts, but how does she know, and what is she doing to find out (or to treat them.) Either your doctor should be definitive and explain how she can be sure, or else she should do a skin biopsy to confirm the diagnosis, or else you should get another opinion. I suspect you may have molluscum contagiosum, a wart caused by a different virus, that is often not sexually transmitted. Find out.
Thanks.
Dr. Rockoff