By all means.. shoot the doe.
I hear old timers talk about not shooting does all the time. They believe does give birth. The more does the more birth.. in turn the more bucks that are born.
What they don't realize is that a larger ratio of does to bucks can really put stress (according to biologists) on the health of a herd. Unless you have a good ratio of 3 does to 1 buck (1:1 is considered best) you should always practice "sound management" of your deer herd.
Does taste great too...