Why is amy ponds daughter part time lord in doctor who?

The time lords became that way because of exposure to the time energy or whatever, so because Melody was conceived on the Tardis, she was exposed to time energy over her whole growth or whatever, so she is basically a time lord. The doctor didn't realize she was conceived on the Tardis, until he realized the first time Amy and Rory were on the Tardis together was their wedding night. BOOM. Time lord baby.