Apologise in person, none of this text crap. If you are sincere it will be fine. If she just thinks you're a dickhead, then there's more wrong with your friendship than you think, and this was a trigger point.

Own it and then let it go.

Also do it to her face in person. Texting doesn't convey intent/sincerity. If you care, show it. Don't try and excuse with humour when not appropriate.