Wow! Sounds cool. You may have what I think people call a Chimera -- genetic composition both male and female.
An intersexed Cockatiel!
I think you better post pictures 'cause I am pretty excited to see this. Hopefully nothing serious concerning an injury -- if the Cockatiel is doing well, and not laboring with it's feet, you could have something very special there. Here is another thread on a chicken that someone is concerned with, too, and same thing, different feet coloring and feathers. Is there anything else about your cockatiel that shows differently?
Post some varied pictures from different angle and try to get in some feet shots as well as head and full body. Lookin' forward to seeing some pictures.
Note: You need more light on those pics -- too dark!