From what I understood, the whole idea that a woman’s first time has to be painful, and she has to bleed, and her hymen will be intact, etc, is pretty much all myth—an impressively perpetuated one at that. (I can’t pretend to have much more than a pedestrian understanding of all of it, but the tidbits I have heard are quite fascinating… For example, women have, for centuries, devised ways to manufacture a guaranteed virginal “bleed” for wedding nights (in societies where it was/is paramount they do so), since biologically speaking, it’s not guaranteed at all.) Hymens break for any number of reasons, and some hymens are simply elastic enough to not break. The best way to know if a woman is a virgin is to ask her, and then take her word on it.
The doctor won’t be suspicious. The doctor won’t think anything is strange. Like @JLeslie said, painless is good. I would guess that indicates a combination of the patient being relaxed, and the doctor being good at what they do.