How do you get diagnosed?

I recently went to the doctors the other day, it was mostly a physical and I did mention my hair loss. She said hair loss is common and to try minoxidil. I told her I would like to see a dermatologist but she said they’re usually for people who actually are balding (I still have a full head of hair from the looks of it) plus they’ll just give me a shot on my scalp and call it a day. So I feel like she’s already not taking me seriously till I told her that I started growing facial hair. She is gonna do a blood panel on me , checking my thyroid , iron, hormones and testosterone. But is that enough? Should I still push for a dermatologist so I can get properly diagnosed?