You are right. I should have specified seen them get in and through med school. But it's mainly their reason for going into it ($$$), and sometimes lack of skill.
While I don't think you should base your decisions on opinions from random people on the Internet, I also don't think you should blindly follow your doctor.
I've seen many older doctors not keep up with more current treatments, or refuse to prescribe some things because their new/they don't know about them.
I've also seen far too many people get into med school, who I wouldn't trust to put a bandaid on.
That being said, your doctor should know what's best for you (as others have mentioned). But there's no problem with getting a second opinion/doing some research (legitimate research, not just stuff to prove your opinion).
Tl;Dr: probably trust your doctor, but be open to other (valid) opinions.
Some spider bites, and definitely tick bites could be a big issue. As someone else mentioned with the circle around the bite. Get it checked out. Save the tick if you pull it out and get it tested. Lyme disease is not something to be taken lightly.