Gwen’s very picky about what she wants! Usually, if her quests aren’t progressing, it means you might’ve missed a step somewhere. If you’re unsure of what you need to do, you can open up your Request Log by pressing Tab on keyboard or Select/Touch Pad on controller!
If you’re stuck during Seeds of the Future, make sure that you spoke to her on Mosstein Cove, built a field, spoken to her on the ship, spoken to her at the Shrine at Hummingberg, then looked at what’s available at the shop.
If you’re stuck during Pretty on the Inside, make sure you’ve unlocked all three of her house upgrades before trying to talk to her.