Sexyy Red comes with some baggage.

She recently admitted to having an STD and to pistol-whipping her baby daddy when she saw something in his phone that she didn't like.

But that's not stopping Drake from cozying up to the rising star.

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As you can see, Drake and Red are all over each other backstage after Red joined Drake's It's All A Blur tour this week.

Will Drake end up with a black eye and a burning sensation when he pees?