The “partridge in a pear tree” represents Christ. The “True Love” one hears in the song is not a boy or girlfriend but Jesus Christ, because truly Love was born on Christmas Day. The partridge in the pear tree also represents Him because that bird is willing to sacrifice its life if necessary to protect its young by feigning injury to draw away predators.
The songs gifts are hidden meanings to the teachings of the faith. The “true love” mentioned in the song doesn’t refer to an earthly suitor, it refers to God Himself. The “me” who receives the presents refers to every baptized person. The partridge in a pear tree is Jesus Christ, the Son of God. In the song, Christ is symbolically presented as a mother partridge which feigns injury to decoy predators from her helpless nestlings, much in memory of the expression of Christ’s sadness over the fate of Jerusalem: “Jerusalem! Jerusalem! How often would I have sheltered thee under my wings, as a hen does her chicks, but thou wouldst not have it so…”