My sapodillas usually shut down in the Winter and I don't usually get new flushes.
I am in zone 9b 10a though. In my area I would leave in pot and water with rain or pond
water and plant out in the Spring. Is it a grafted named variety? If you water 2-3 times
a week in the winter it should be enough. In the spring when it flushes it will eventually
work out the discolored leaves. Does the city water have chlorine or chloramine added?
In Florida my trees like full sun and I add compost and plenty of organics to my soil. I add
coffee grounds, oak leaves, fresh mulch 2-3 times a year.
Usually fertlizer greens them up. Not sure about your water?