I'm probably unusual in that two of the three women I've been serious with knew I was a hobby writer when we met (and the other one pushed me into learning to write erotica).I ask to all the writers here: would you feel 100% comfortable showing your writing to a dating prospect?
Even if there's nothing smutty about what she writes, she might still want to keep that part of herself private. It might be way easier for her to write, knowing that only strangers on the Internet will ever get to read it. That shit can be personal.
Not actually that low. Last time I went to a company sponsored learning course, I sat next to a colleague from another branch, at least 20 years my senior - turns out she's also a writer on Ao3.Feel like the chance of running into another author in real life is astronomically low. Just saying.
If that's true, and if you do date her, however, why the hell would you care? She can write what she wants.