Little Love Songs: Gaming Version (In Spenser Terms)

I think I'm in love. With sonnets, that is. Oh, the irony. And while I love the beautiful imagery and double-meaning words the poet weaves into each little song, I cannot seem to understand why poets--Spenser specifically--would want to describe his woman as "the hunt," "the game," or any other animal-like name. I understand that love is a game. And the poet feels like a hunter. And the lady runs away, like a deer. Or flies away like a bird. I really get it, I do. But does courtship always have to be a hunt? A chase? One person pursuing and the other fleeing? I know this was the 15th and 16th century, when men called on beautiful women, but for some reason, it just doesn't feel right hearing woman continuously being called--to be frank--an animal.
An animal is defined as a multicellular organism part of the kingdom Animalia, a person who behaves in a bestial or brutish manner, a person considered with respect to the physical nature, a person having a specified aptitude or set of interests, or relating to human instinct. I don't know...most 16th century women just don't seem very "brutish" to me...
Now to Spenser. I found it interesting that his Sonnet 67, like that of Wyatt, described "the hunt" of the fair lady. He describes himself as a "huntsman after a weary chase," and I couldn't help but wonder, 'Why chase, then?' I have to applaud Spenser for his (assumed figurative) long and weary chase, even though he could have never imagined that the "gentle deer" would behold him with a "milder look" and let herself go with him.
But what is Spenser trying to comment about women? Even though he describes woman as a deer, the doe being associated with woodland goddesses, gentle, caring, and intelligent, is Spenser trying to say that even if a woman has these wonderful qualities, at the end of the day, she is still an animal? If that is the case, perhaps the doe's "own will beguiled" was her succumbing to the chase, allowing herself to be led by the man because that is her instinct: to submit herself to a man--any man--in order to be protecting from future hunters. I'm really not sure, just posing questions and answering...myself.
What I found even more interesting was that Spenser remains a human throughout the sonnet. While the woman oscillates in description, from being described as a deer to someone with hands, to something that can fly, Spenser remains the huntsman. From a feminist lens, Spenser could be commenting that woman can change personas and attitudes so quickly; woman is easily influenced.
Other than this discrepancy, I really enjoyed the sonnet as a whole. What really hooked me about this sonnet was the use of the word "game" in so many different contexts. Like a game, so many things in life and love can change in an instant. But what remains constant? Love will always be a game.