Current plan is to start an invasion of Hatty ASAP.
I don't think we'll be able to steal any techs any time soon. I think the best plan would be to create a trojan city close to us to gift to her before we start beating her to submission and ideally take some techs for peace. She's willing to take Lyons right now, but we might be able to fit a junk city closer to her somewhere that isn't going to potentially be a bother to us.
We'll want pretty much all of her cities as they're too good to waste on AI. We can move our Spy to scout or start moving him to where Hatty's last city will end up being.
Switching Cologne to Galley production, and making a road to Greece south of the Alps so we can attack turn one or two after declaring war. She has both Feudalism and Engineering soon, so it can get hairy if we let her whip.
Trading techs to AI's for all their available gold, particularly Churchill who will give 110 for theology.