From a purely political stand point, it would be suicide to be seen as rushing a sex crime investigation. Secondarily, it would be of no benefit to the long term goals of the football program.
You should read Benedict's "The System: The Glory and Scandal of Big Time College Football." Not only is UT mentioned predominately in it's own chapter, but multiple chapters are devoted to sex crimes and athletes. The narrative is pretty even handed, told from both sides of the situation and from a third perspective of the prosecutors of these cases.
Some interesting snippets:
"1) A criminal complaint against an...athlete for sexual assault is far more likely to result in arrest and an indictment (than the national average). 2) Athletes are significantly less likely to be convicted (than the national average)."
and
"As a result [of legal defense teams that athletes, even college athletes are provided] prosecutors are much less likely to charge an accused athlete in a date rape case unless the evidence and the accuser are rock solid."
but
"...jurors are reluctant to convict athletes of sexual assault when the accuser has willingly gone to a player's bedroom or otherwise put herself in a compromising situation."
When interviewed about this phenomenon, some jurors believed that "the athletes had been sufficiently punished for the crime when they lost the opportunity to play college football."
Here is the most chilling finding of all, "male student-athletes made up just 3 percent of the male student population yet were responsible for more than 19 percent of the reported sexual assaults on campus."