Another option if you can't get to a doctor immediately is to take a sitzbath every day, put something in the water like a small amount of white vinegar, and just soak for 15-20 minutes. It might help the swelling go down.
Can you get a second opinion? lol I know you think this is a hair that is stuck but what if it is an actual hair follicle that is infected? It's really probably best if you get it looked at I'm sorry to say. You don't want to be digging at the area that is already inflamed and painful.