You can get HPV from oral, but it's not the most common way of transmission.- genital to genital or genital to anal contact is.
If you get oral HPV, it doesn't usually present with symptoms - it's almost always the high risk kind that doesn't give you warts, and it's usually in the throat.
You don't know that what you have is a wart, but there are strains of HPV - the virus that causes all warts - that affect the face and chin, and those aren't associated with the strains that affect the genitals. You should let your doctor check this out to see what it is.
You are taking a risk every time you do this, though. Most people don't show signs of gonorrhea and chlamydia, so unless they show recent tests, you don't know for sure that they don't have an infection. The chances of transmission are lower with oral sex, but the risk still exists. No judgement, but just letting you know.
Let me know what the doctor says.