Is it possible to get folliculitis from a tattoo?

I got a tattoo last Tuesday of a detailed blue rose to the left of my buttcrack to be blunt. On Friday, 3 days, later, the tattoo and well around the surrounding area started forming painful red blistering bumps. I went to the doctor on Monday and he said it is folliculitis. I've done some research on this and it seems to form from ingrown hairs. I've never had this before. I didn't get shaved prior to the tattoo. To me this just doesn't seem to be the correct diagnosis. I was given an antibiotic, which is probably what I need regardless. I did use A&D and feel more than likely it was an allergic reaction to the A&D instead of follliculitis and lots of other people online have had a similar breakout from A&D. I broke out way beyond where I applied any ointment as well. I of course was very detailed with my doctor and told him everything to get a proper diagnosis. Does anyone know if folliculitis is possible to get from a tattoo or do you feel I was misdiagnosed?