As an adult, the only risks for HIV are:
1) having unprotected, penetrative vaginal or anal sex, or
2) sharing IV drug needles with other IV drug users.
You had ZERO RISK for HIV. Protected sex is not a risk for HIV. Blood, once outside of the body, is no longer infectious, so the menstrual blood on your tshirt is no risk at all.
You do not need a test since you didn't have a risk.