I'm happy to tell ya folks that coyotes and wolves have "evolved" like us modern hunters. They practice catch and release, feel sorry for their prey and practice conservation that would make most veggie folks proud, only take the best representive species and never ever take the youngest, or a doe that has young with her, etc so you will be fine!
Seriously it all depends on the health of the herd heading into the winter. If they headed in with a good fat supply all is good. We had a winter here last year(four feet of snow on the ground for months on end) like it sounds like you had this winter. The deer around my local parts had a good acorn corp and faired good. Some or most parts of the state had a total mast failure last fall and combined with the terrible winter they suffered horribly.
The bigger problem here is our local DNR uses the last TWO years harvest data in regards to set the limits for the current year so they don't OVER react. Problem is by the end of two years of data collected the deer herd is decimated. I've personally seen a 28 day doe season any thing goes to closed no doe hunting in that time for half of the counties in the state. And then they have the gall to say that their program is working exactly like it's designed to. I say then your program is flawed. You'd think they could respond a "little" quicker! JMHO your mileage may vary. I sincerely hope your wild life fared better than you think.