I like this strategy, but I don't think it's necessarily clear cut: while taking the queen is forbidden, the opponent also has the opportunity of putting their

I like this strategy, but I don't think it's necessarily clear cut: while taking the queen is forbidden, the opponent also has the opportunity of putting their queen en prise. So you end up in this scenario where both players are taking one another's pieces while leaving their queens en prise the whole time. Is it a draw, or is there some clever way to break this loop?