Like or hate Haslam, he's been pretty tactical in his coaching hires. The one wart is obviously Stitt, but there were a lot of issues that conspired to make that hire fail including Stitt himself. That being said he's had his hand forced with the Women's program twice (first with how late Robin chose to retire) and the issues that led him non-renewing Schweyen last year. For the most part, considering the hands that have been dealt, Haslam has his work cut-out with the women's program.
This isn't a hire and re-load situation anymore. Schweyen bottomed the program out in one way or many, but Petrino like it or not did a decent job with a roster replete with Freshmen, transfers and with few players that were anything more than average BSC womens players. Petrino has the support of staff and the locker-room which was priority number one and unless my read is completely wrong we aren't going to see key members of its roster transfer to a conference rival to finish out their careers this year. Petrino likely earned a shot at trying to transform results on the floor in a year that wasn't completely blown apart by Covid-19 restrictions.
There will be a few Pac-12/MWC types that Haslam likely will listen to if they call. They may or may not have ties to the program or the state, but there is some interest in the program because of what it is historically and the support it has from the AD and the community. But for me, considering the situation and dealing with the hot mess that was the last year was for the women's program, Petrino likely earned another one year contract. Maybe under circumstances that he can manipulate the roster, actually recruit, and use the summer and fall to develop what he has in the roster for a better run at 2021-22 season.