I totally understand why she was upset too but my male friends often say blunt tactless stuff, personally I think this is a difference between the sexes men do tend to be less sensitive in my experience. No biggie IMO. Yes she does sound a bit out of proportion to me but she's your friend and you get to decide if that's acceptable to you or not.

Certainly wouldn't beat yourself up and I agree with S4nd if this is a true friendship it will survive and you will both laugh this off.