I think you can wrap TWT ( I have never done it successfully) but not sure about angel wing. Are you SURE that is what it is? Because TWT is pretty common, as well as straight flights. Those birds should be mid-molt about now and probably look like total crap this time of year, even if they are well cared for. I know my females are still working on gaining back weight they lost while setting.
You can pay for DNA sexing on the birds, but personality can give you some good clues as well. Girls tend to hang out in the back of the group. boys will be in front and more inquisitive. There are always exceptions though.