All you can do is accept that you can't undo anything. You can only apologize after the fact for your behavior. You have either proven your husband is right or you have proven you're right. That's the problem with proving things... everyone has a different perspective and may not see things the way you do. Being right may actually make you miserable instead of happy.

Use it as a learning experience. In this instance, a humbling sincere apology for sending the texts you sent because you were angry and drunk is your only premptive defense option. Text the woman you texted and apologize for your bad behavior. Skip being defensive and proving you are right. It isn't going to help you to battle with her about your husband. The set up a couple apps to prevent future problems.

Make a plan to prepare for his angry response (ironic that he will respond with anger to you saying to someone else he has anger issues, isn't it?). Pack an overnight bag with shoes and hide it in your car in case you need to leave quickly. Keep your car key, id and a credit card in your pocket at all times. Being prepared to leave quickly is a scary thought, but it's your plan of last resort for a worst case scenario. You may not need to leave quickly.

I know you are still sharing space to live. But really, everything you can do to move his moving out along helps you the most. It isn't a favor to him, it's a favor to your mental health... the ultimate self care. Don't forget to forgive yourself for making a mistake or regrettable choice. It's going to be ok and you're going to get through this.