I'd like you to correct my daughter's tooth alignment.

Literal

Daughter [possessive-の] dental-alignment [object-を] correct [receive-favor-いただきたい] [explanatory-のです].

歯列 ('tooth row, dental alignment') is dental-specific vocabulary. 矯正していただきたい = 'would like to humbly receive [the favor of] correcting' — a very polite request to a dentist. のです adds explanatory softening.