Nice set up. This should be an interesting turn of events.
I liked Lily for the most part, though the way she was introduced was kind of like Apis. (Girl floating at sea, gets on board by accident.) Her being a glutton and her father being a cook would certainly get Luffy to jump and help and I'm pretty okay with that.
Props to the Sunny for holding Lily's weight when she was a full giant though, what a sturdy ship. I always wondered if a giant ever was on a pirate crew, how would they fit on a ship. One way that the series has shown is to get a reeeeeally big ship which Whitebeard did, and the other is basically recycling a non-canon fruit… which makes it still non-canon. Oh joy. Overall, think I'm gonna be excited for how this turns out. Too bad, cause this makes Lily not applicable to join the crew and she could've been a real powerhouse on the girl's side. It's cute how she uses a giant fork as a weapon.