My mom is a medical doctor who went by maiden name at work. If I visited and asked where Dr. X was the staff would be very confused but it I asked for Dr. Y they knew exactly who she was. It was her choice to do that at work.

I admit to being so confused that when I got married I had to ask if she wanted to be introduced as Dr. X, Dr. Y, Mrs. Y X, or, Mrs. X. She looked at me as if I had two heads and said "Mrs. X". I thought it was a reasonable question.

You do what works for your family. Life's weird enough!