to expect (someone) to put up with, to subject (someone) to
Unter den jetzigen Umständen wollte ich mir diese Reise nicht zumuten.
Under the circumstances, I didn't want to put myself through this trip.
Würde ich mir so etwas zumuten, und meiner Tochter, wenn es nicht sein müsste?
Would I put myself and my daughter through something like this if I didn’t have to?
— Never Look Away (2018)
Das hat mich weich gemacht, das kann man einem Pferd zumuten, mir nicht.
That softened me up. You can put a horse through that, but not me.
— Fitzcarraldo (1982)