As you remarked, probably the facial hair caused that irritation, as skin around the anus is really thin and sensitive. No STDs will show symptoms in just a few minutes ! The kind of encounter you had exposed you to gonorrhea, syphilis and herpes. You should test as follows:
-Gonorrhea, 3 weeks after the encounter.
-Syphilis, 6 weeks after the encounter.
-Herpes, 3 months after the encounter.
All the best.