"Cows, like humans, are mammals which means that they share a somewhat similar reproductive process, but does that mean that they have periods like human females do?"
"Cows do not have periods but they do have heat cycles. They can bleed during their estrus cycle, which is often mistaken for a period."
"Yes, a female cow and an intact male cow, also called a bull, can and will breed when they both reach a certain age and the female is fertile."
"The bleeding could indicate a successful fertilization, or it could just be naturally bleeding that occurs from breeding."