At this age I don't think they are picky as such, but learning about preference, textures and flavours they like and don't like so much. I think if a big deal is made out of it, it's more likely to become an issue. I would just keep offering veg at diff times of the day, in diff formats and see if she starts to eat more.
Personally I don't believe this theory...re flavors. we were advised offering more options and a varied diet actually reduces the chances of a fussy eater later on (by plunket)
Some things you can try is to mix fruit and vegas, ie pumpkin and pear, sweet potato and apple, yams and peach. I also make savory muffins etc with Veg in them. You could try grating zucchini into potato and meat, or cheese sauce with cauliflower. When Z got fussy for a bit I snuck mashed pumpkin into his Sammie's
Good luck
10 months is pretty young still, and the are lots of reasons they fuss with some foods at is age, so try not to worry too much