Can you put up some pics of the side of its beak as I have a male budgie who looks very like yours.his cere didn't turn blue until he was 6 months old but as I look back on pics you could see very faint bits of blue on the side of his cere.
hi william1hen did your budgie have at all any white/beige rings around the nostrils. or did it have only blue on the outer bits and pink in the middle. if it only was pink with blue outer bits it is 100% a male if it had two white/beige circles i would say female.
This is a pic of my 3 month old female recessive pied.