Disclaimer: I have no experience with Geese!
I don't know if geese like cabbage. If they do, get a cabbage head and shred a piece of it into Trudy bill-sized pieces and offer that to her. Cabbage contains a ton of nutrients and anthocyanin which is responsible for the birds orange bills, feet and legs. In fact it is the anthocyanin which colors the egg yolks so deep yellow-orange.
I know that grown up geese are strict vegetarians, so i don't know how to get some protein into Trudy, maybe some canned peas? Do geese like peas? - I hate peas but i am not a goose…
Finally: Can you make a Video of Trudy running around? - I have seen plenty of broody ducks, but never a broody goose! Thank you very much in advance!