How important is it that your PhD advisor is an experienced, well-known faculty member? I have a quick question about choosing a PhD advisor. I know they are some threads on this but my question is a little more specific.
How important is it that your PhD advisor is an experienced, well-known faculty member?
There is a new professor that is coming to my school this fall. She will officially have her PhD in May. However, she studies almost exactly what I have wanted to focus on ever since I was in high school. Now, I won't start doing research until after I pass my qualifying exams- so I have about a year.
My goal has always been to teach at college. I am really, really good at teaching and have received lots of money and numerous awards for doing so. So many college professors are disconnected from students and simply do not know how to teach and this is something I have been extremely passionate about.
I am not trying to become some world famous mathematician. So, given this, is choosing an advisor this young a bad idea? Is it looked down upon in academia, and does anyone have any experience with this?
I am looking forward to your answers.
Just to give contrast with @Buffy's list of disadvantages:

new professors are often full of energy and enthusiasm
they will probably start with a small number of students, so you may get extra attention
they may have better rapport with you since it hasn't been long since they were graduate students themselves
the exact match of research area seems like a big bonus
as you suggest, the lack of prestige/ranking of your advisor is unlikely to be as big a deal when looking for teaching rather than research positions

The only disadvantage I see in addition to @Buffy's list is that a new faculty member might be a bit overwhelmed with all the new things they have to take on (teaching, admin, research, in addition to graduate advising).
All that said, IMO the most important characteristic of a graduate advisor is a good match in terms of personality/mentoring style/expectations. Hopefully you will have a chance to speak/interact with them more to find out about these things before choosing your supervisor.