Come on, all she did was vigorously hand her jacket to an assistant.
Seriously though, I wouldn't have categorized that as tossing or throwing the jacket. It simply didn't go far enough and it went straight to an assistant coach who caught it without so much as a second thought.
For the high school level, I think the fit probably lasted long enough for a second T. For professional ball, I wouldn't expect a second T here.
I expect emotional responses to Ts and I don't want to pile on. If the jacket was slammed to the floor or launched across the floor, I'd think differently.