Rory McIlroy & GF -- Matching Pink Outfits for NYC Shopping Spree

Sporting his and hers hot pink shirts, golf superstar Rory McIlroy and his tennis superstar girlfriend Caroline Wozniacki hit the streets of NYC together yesterday for a couples shopping spree ... packed with PDA.

They held hands ... they sucked face ... she put his hand on her ass ... it was actually kinda cute.

There's only one problem -- he's got a Nike contract ... and she's an Adidas girl.

Deal breaker?