The letter is way too over-written with buzz words and rhetorical flourishes, so it's hard to figure out exactly what she means, but I think she's making 2 points:
1. UConn has had a number of embarrasing incidents recently (APR-based postseason ban; athletes in trouble with law, specifically violence against women), and the administrations to be responding by re-branding rather than addressing the underlying issues. This seems like a reasonable complaint on its face, though I don't know enough about the issues to figure if the criticism is accurate or not.
2, and the really confusing part. The administration is playing into the worst aspects of stereotypical jock culture by creating a "fighting dog" image that "can't be messed with." Personally, I think that's reading too much into a logo and a standard-issue coach's quote. On the other hand, when the writer says "I know what it feels like to have a real life Husky look straight through you and to feel powerless, and to wonder if even the administration cannot “mess with them,"" I think the "real life Husky" she's referring too is a UConn athlete and not a, you know, actual real Husky. If she has been the victim of violence or fealt threatened by an athlete, I can understand her reading too much into a logo and a quote even if I don't agree with it.
Of course, as I said, it was hard to make heads or tails of much of the writing in the letter, so I could be completely wrong in my interpretation.