Funny you should say that Hat-hor might have had a taste for blood. According to a myth recounted in the Book of the Cow of Heaven, Ra sent his eye in the form of Hat-hor to slaughter rebellious mankind. When Ra changed his mind, the goddess wouldn't stop. So Ra had the land covered with a mixture of beer and red ochre. Mistaking the mixture for blood, Hat-hor paused to drink it, fell into a drunken stupor, and forgot to continue the slaughter.
As to what was offered to the goddess in ancient times, you should take a look at book called "Votive Offerings to Hathor" by Geraldine Pinch. Some of it might surprise you. The wooden penises? Ancient sex toys, perhaps.