Thanks for choosing healthcare magic for posting your query.
infection after using an unclean towel is not practically possible. However you have mentioned that you kissed the prostitute every where, probably mouth and vagina as well. This can cause probelms as HIV can get infected on contact from mucous membrane
, more so if there are any cuts. Although the chances are few. You shouldn't panic. Get yourself testes for HIV after 2 weeks and try to act safe in next encounters.
Hope I am able to answer your concerns.
If you have any further query, I would be glad to help you.
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Wish you good health,
Dr. Srikanth Reddy M.D.