Free: Contests & Raffles.
I usually follow the logic of several people above.... shoot the biggest that doesn't have a fawn.... but last year I shot a large yearling doe and man was she tasty and much easier to deal with. I did get a little less meat than from a big fat doe, but since I try make more steaks and roasts out of my deer I would much prefer a tender young doe than a tough old doe even if I get twice as much meat. I also trim as close to 100% of the fat I can from my deer so a big fat doe just means more trimming for me. But if you are going to grind all or most of your deer then a nice big one will provide lots of tasty burger or sausage or whatever. Just shoot the doe you are comfortable shooting. I wouldn't overthink it.
If you have a choice, shoot the one without a fawn.
As an alternative, perhaps pass on filling the doe tag. Many are docile enough to make it not very sporting. On that point, I had a trespasser charged who killed a doe 20 yards off a main road. She just stood there minding her own business, so to speak. Just as she did every night, not bothered by people stopping along the road to look at her.Offered only as another point of view, no criticism intended.