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The spelling is fine. It's a pretty popular one, so it doesn't really stand out, along with the name itself, which is overused and, as I find it, dull and at this point outdated. Kaitlyn is like Ashley and Emily in the sense that people use it sarcastically to describe a basic white girl.
Personally, if I had to, I would choose either Katelyn, because I prefer Kate to Kait, or Caitlin, because it's the original.