I have a very happy budgie that is approximately 3 years old and male. I got him three days ago and the first time i let him out he flew into a fly trap. I was able to get him out but there is a part of his wing that is stuck to the main part of the wing he can fly and seems ok but I don't know if i should be concerned or not.
The best thing for getting the glue off his feathers, if there is any, is personal lubricant such as KY jelly. Then you can give him a (very) gentle wash off with mild washing up detergent, with a thorough rinse off. Get the glue off asap otherwise he will try to clean it off himself.
We are not Vets, Avian or otherwise. If you have any serious doubts about your budgies' health an appointment with an Avian vet should always be your first point of call.