I don't think this is Kayla-the-lesbian-Barbie's girlfriend.
I think that's a different Barbie doll.
I think this is just Anchorman Barbie, whose name is Grace. She also plays jazz flute and has a penchant for scotch. She's also really in to punk. The sleeves cover her many tattoos of Vince Noir and other Boosh characters (such a sycophant!)
I suspect my children are quite strange.