Your description of Pip's behavior does sound like a female. If male he would be courting; pacing back and forth on the perch, head bobbing, and offering to feed the hen. Aggression is more a female behavior in budgies.
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I've had Pip for around 5-6 years now.It was a small pet shop that sold hand-fed budgies, but they never gave an explanation as to how he was sexed. It seems a little small to be an English.....that said, I'm no budgie expert. Thank you so much for your input! Here's a better picture of Pip's cere. (I'm personally leaning towards female)
View attachment 2107137
Here you go!I don't think she has any black bumps. It may have been the angle. View attachment 2107139