What glue to use ~ cork to Delrin?

I have a Delrin flute where the joints have been corked. This past week I had a tear in the cork, and there is about 1.5 cm that’s loose. It looks like I should be able to re-glue the flap, but I’m unsure of the type of glue I should use. I did do a search but didn’t find what I was looking for. Any recommendations?

Thanks!

Dap Weldwood contact cement.

Thank you!