Your question has been fully answered that you had no risk.
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You seem to be paranoid about an irrational fear. HIV can be transmitted if you have unprotected vaginal or anal intercourse or share needles to inject drugs with an HIV positive person.
You were never at risk, please see a counselor if you are unable to think rationally. You don't have an HIV concern.
Uh, no. You can not get HIV from a towel. HIV as previously stated to you is only transmitted through unprotected vaginal or anal intercourse or sharing IV drug needles. Air inactivates the virus and you can not get HIV from a surface and certainly not a towel.
Also what if there was hypothetically a high viral load in possible vaginal fluid on towel?