That mature doe would club those same fawns overthe head with her hoofs come winter when food is at a premium. I've watched does do that countless times. With the rut approaching, she'd be weaning the young ones here soon anyway. "Orphaned" yearlings will get along just fine, and run with other deer inthe area. Now if they are super young late born fawns, they are in trouble come winter anyway. Low on the pecking order, they are the last to eat when food gets scarce.
All that being said, while biologically there is nothing wrong with shooting that doe, everyone has to be comfortable with the shots we choose. In my mind, nothing rong with shooting, and nothing wrong with passing. Its a personal choice.
On a couple of farms I've hunted in years past, pass up shooting any doe would get you run off the place. Farmer wants deer removed, regardless of size. They're eating his livlihood. It all really depends on circumstance.