You can wait a bit, and then act carefully. You can send her a real letter, many are very greedy for this. You can also send her some nice gift, although many would be pleased to receive a VK gift. But all this will work if you have not offended her too much. And if the reason for the offense is not that serious, all people usually forgive soon.
Why insult anyone at all, buddy? And even when you met.
If you didn't insult her too directly, then we can say that you wanted to joke / she didn't understand everything.
But it's easier (and better) just tell the truth that you messed up, but now you understand everything and want to settle it. Ask for a second chance.
I would forgive.