Eek! I'm sorry to hear that. I hope it wasn't terribly traumatic for her or you. I'm not particularly knowledgeable about this sort of thing, but I can share that my other dog (not a Frenchie) was bit in the leg at doggie daycare several years ago and since I was really scared, I took him to my vet who told me it was good I brought him in. He cleaned out the wound and drained it (it was a very deep puncture) and put him on antibiotics, went on about how germ-y dog's mouths are and "we wouldn't want it to get infected." Now, I don't know if that is standard for dog bites, if it was because my dog's was particularly deep, or if my vet tends to prescribe antibiotics for everything, but at the time, I went with it and my dog healed up okay and did not get an infection.
Glad you were able to wash it out and treat with Neosporin. Hope it heals quickly!