Is Link a gender specific name? I think you could get away with it on a female, besides the name Link is not just given to one specific character within the Zelda universe but is the default name (that serves as a placeholder for whatever name the player chooses) that is shared by all the incarnations of the hero of time (I call them incarnations of the hero of time because that is arguably to most popular incarnation even if the moniker isn't entirely accurate). Link is not a single definable entity within the Zelda universe, sure a lot of the incarnations share a lot of the same traits and features but I also feel there is room for a little change and variation from time to time.
Link actually *is* a single definable entity in LoZ -- He is the playable protagonist in every single game in the series that isn't a spin-off or a non-canon entry (like Smash Bros.).
There IS change and variation. There have been 4 (I think more, but I remember 4 off the top of my head) Links throughout the Zelda chronology, between the original LoZ to Ocarina of Time to Skyward Sword to Wind Waker. Each Link is different in so much as his clothes and personality, but they all share the same core traits:
-wears the same or very similar clothing
-wields the Hyrule Shield and the Master Sword
-is the playable character
-personifies the Triforce of Courage
-is male
All of those are constant throughout the series. Everything else IS changed.