James, I have no idea whether you can get your named changed in Tennessee in the next two weeks. You'd have to look into that yourself, or maybe somebody else from Tennessee on this forum can advise you.
I think I'd try to go over the head of the supervisor of records. Find out whoever's above him/her and see them. This is a policy that should be considered by the top brass at the college, in my opinion.
One of my experiences: not too long ago I wanted to get my diploma from the university I graduated from revised to show my new legal name. The low level clerk I first dealt with simply told me it couldn't be done. His explanation was that "your diploma indicates your name at the time you graduated." Well, duh! Of course it does. That's precisely the problem. That's not my name any more.
So I went over his head and got the same answer from his superior. So I went over her head to the top person in that department, who, after a fair bit of time for reflection, at length realized, I believe, that it was a pointless policy. Sometimes people change their names and why make a big deal about it? So eventually I got a new diploma with my new name.
Sometimes it does pay to go over somebody's head. Explain to the higher-up's that it's a question of your safety and psychological well-being(which, presumably, they do have some responsibility for), and you might get somewhere with them. There is a growing recognition these days of transpeople's needs and rights, and you might get lucky and find a person who's aware of and sympathetic towards them.
Good luck.