While I wasn't there, of course, and can't speak to the facts, the retraction and clarification by Beard's fiancee is pretty common in DV cases. I clearly don't know if it represents the truth or not.
What does appear to be true is that someone in the house made a 911 call, and when the cops showed up, they found evidence on the victim sufficient to charge not only DV but occlusion (choking). Something happened that night.
A court case may ultimately not reach the standard needed for criminal conviction. It's possible, but becomes harder when the victim isn't willing. That's a totally separate matter from the fact that the not-disputed part of the record strongly suggests Chris Beard put his hands on that lady. After that, he won't be welcome in meetings with other professionals nor in recruiting homes. In short, the circumstances of the arrest mean he won't be able to effectively coach the University of Texas Men's Basketball team.
Texas' oddly ironclad Sovereign Immunity framework seems to mean any suit he brings against the University is practically guaranteed to fail.