I don´t know your history with the goddess so I´m not not even going to try to quess. But lets assume that you have a functional but not the most intimate connection to such a spirit: Should you give your blood as and offering to such a spirit? No. Should give your blood as an offering for your desired outcome of a ritual, a spell or a manisfestation of the outcome?Definetely wiser option than than the former.
The reason is because if you develop the habit to give your blood as an offering to every darn spirit that you encounter, it has risks. Now, I don´t think that if you give your own blood as an offering to azazel and it´s not approriate, that Azazel would abuse it. Same thing could be said about many other spirits that people on this forum work with but there are spirits that aren´t so peacefull about it.