Does the presence of the taste of blood in the throat or the involuntary entry of some of it break the fast, and what should a woman suffering from "hemolysis" do if she frequently encounters this during fasting?

A sick person who has been given permission to break their fast should know that it is disliked for them to fast if it causes them hardship, and it is forbidden for them to fast if it harms them. Swallowing blood breaks the fast. However, if some blood enters one's throat unintentionally, there is no blame on them. But if one intentionally swallows it, then their fast is broken thereby, because the mouth is considered as external. They must guard against swallowing blood; if blood enters unintentionally, it does not harm them. In summary: It is recommended for her to break her fast if fasting causes her hardship, and it is obligatory if it harms her. She must make up the days (qada') if she is able, otherwise, she must pay a fidyah, which is feeding one poor person for each day.