She could be better and play less. I think she was substantially better than Ice last year. In fact she blocked shots at about the same pace, rebounded better than Ice, and offensively was more efficient. But with her thin frame she was not able to bang with bigs and is more of a 3 anyway.
She was the 6th best player in the rotation at year end, and Ice was 7th IMO. the only reason she was behind Ice in minutes was Geno had no choice with the bigs. Ice just had to be better than the alternative of Amari to get substantial minutes. With Q, Geno could keep rotating short rests for the perimeter players and supplement that with a few minutes from Q.
This year Q might be significantly better and play less. Some very good players on the perimeter are going to be dissappointed in their minutes. The question is who is she clearly ahead of on the perimeter. Allie and Morgan were both considered better prospects than Q. Azzi and Caroline when healthy have performed better than even last year's starters of KK and Ashlynn who were obviously ahead of q last year, and Kaitlin comes in with experience and far higher credentials.
Obviously health is still an issue, but Q needs to be better than at least a couple of those players to be a member of the rotation, and even if you look at her as a 3/4 type, when Aubrey returns she will be the obvious choice ahead of Q, and Caroline (if healthy) or Morgan could be contenders for that role too.
The path to playing time for her is not an easy one even if she is better, and I would not be very surprised if she did perform better than some of her competitors, but when you think about it, we have 6 players competing for the 3 perimeter positions that are used to being starters, before even considering the freshmen or Q. Paige, KK and Ashlynn are incumbent starters, Azzi and Caroline were starters before injuries, and Kaitlin is a longtime starters at Princeton. The floor for getting playing time on the perimeter if everyone is healthy is very high, just the way it is, but if you beat the competition all of the contenders have a chance.