Link is a strong, independent Hylian who doesn't need to be a woman.
Really though, I don't see the big deal with a female Link, on either side. What would it hurt to have a female Link? Every Link is a different dude, often descended from another, what's to say Link's great granddaughter was the only one available to take the Triforce of Courage, hell, Link even had a little sister in Wind Waker, she could have been the one to go on an adventure.
But what real reason is there to have a female Link in the first place? Sure, it could have been a neat novelty in Hyrule Warriors, but what purpose would it have otherwise? Can girls not get into a game with a male protagonist? You don't see guys complaining about Samus. I almost always pick the female option in games, but I like Link how he is just as well as any other character.
I think the key thing here is that it isn't just making Link a female, but that the holder of the Triforce of Courage just happens to be female. We've clearly already seen that the hero doesn't even need to be of the same bloodline as previous Links.
It'd just happen to be some girl named Link,
probably because her parents were hardcore fans who were expecting a son.