I don't mind it when people comment or question. I've developed a few funny lines that steer conversation away from DD like "Oh yes, she loves astronomy. I cannot wait to take her to a StarTrek convention" or "How long has she been reading? I don't know exactly but she was really motivated to learn to read so she can navigate the app store."
I used to try to downplay her abilities and it backfired more than it helped so I've stopped doing that.
What makes me cringe is when others call DD "perfect" right in front of her. I know I should just take it as a compliment and teach DD that what they really mean is that they see that you're trying your best and making a steady progress. Still, I can see that it's getting to her head ("People think I'm perfect so I must maintain this perception") and I don't like how it's affecting her behaviors.