^ most definitely, yes. That and whether any lube is used and whether time is taken to ensure the lady is relaxed. Given than ladies' reactions to anal sex range from "ow fucking hell that kills, fuck off" to "mmm just ram it in", I am willing to believe ladies have a varying capacity to take it up the arse, but width is definitely more significant than length in terms of cock size. IMO/E etc..
She sounds like she has no intention of delivering tbh and didn't want to come out and say so. Maybe she genuinely is too teeny tiny or needs a lot more warming up time than most and knows it isn't practical during an appt.. Or maybe she just doesn't like it full stop and thinks this looks better on her profile.
There is more potential for pain/harm during anal sex than pretty much all other activities prossies engage in; while most men are careful and respectful, a few aren't and I can imagine a bad anal experience putting you off forever...