Title IX, as you must know, requires that universities provide as much funding and other forms of support to women's sports as to men's. President Allen announced in the same press conference that your firing was in all likelihood a precedent to the teams' being dissolved. Given this fact, it will certainly be arguable in court (as well as in the preliminary documents that we will file, which may well lead to a settlement from the university rather than having to proceed to court) that your firing was simply a pretext that would allow the university to cut funding to women's sports. Such a clear violation of federal law is definite grounds for a lawsuit. We have additional support for such a lawsuit in that President Allen has make a number of statement supporting the importance of male teams and has consistently attended the games played...

This is prima facie evidence of bias on his part.
So, in answer to your preliminary questions:

1. Yes, the university can fire you because you are an at-will employee who has arguably performed poorly.

2. You can, however, file a civil suit in response based on the university's having committed a wrong or tort against you personally in pursuit of violation of federal law.

3. You can expect a financial settlement in addition to the probability that you will be rehired and that your teams are likely to receive a high level of support from the university at least for several seasons in the future.

I look forward to moving forward together in this matter.

Cordially,

Marcia Framen