In order to save humanity from sin, Jesus had to be divine as only God had that redemptive power, but if he was God that means he didnt suffer on the cross- this would mean his sacrifice and resurrection were not real
If Jesus was fully human as well as divine, this also creates problems
Paul wrote that humans have a sinful, corrupting nature- so can Jesus truly be human and sinless
Bishop Apollinaris of Laodicea worried that 'a human mind - that is a changeable mind... is enslaved to filthy thoughts', so he suggested that the Word replaced the human soul and mind with a divine one
Gregory of Nazianzen rejected Apollinaris' suggestion because it constituted a "half salvation"