I have arranged many female boxing matches in the past (and will again in the near future) and I have seen blood on many occasions. Usually the women have boxed through it, albeit it a bloody nose, split lip, minor cuts. There were a couple times there were decent cuts, one being an eyelid cut, that I stepped in and stopped the fight. The women that were the bleeders didn't like that I stopped those fights, but after a couple minutes of being treated thanked me that I didn't let the fight go on. The one that had the eyelid cut, blood streamed down her face before I stopped it, her cheek and chin being covered. The boyfriends/hubbys thanked me as well.
If there is one woman bleeding bad from a cut, I will stop the fight and tend to the blood (I am a very good cutman as well).