For what it is worth consider yourself lucky. It could have been a lot worse.
Your free now and that is a good thing. Take some time for yourself and work through the feelings that will surface. Tgey may linger for a bit or keep surfacing for a bit. In time it will pass. My advice is to put as much space as possible between you and her. You may find as in my case, that your x may continue to hound you, bash you, complain about you, etc. Hard as it may be...ignore it. Imo, what it means is that your x has not let go. Only she can decide that for herself. Nothing you do or do not do will chanfe that for her.
Your goal is to heal. Take as much time as you can to heal and begin your new life. Focus on you and your dreams. Focus on being happy.
As for lonely, most will jump into an R as an attempt to feel better. In most cases it does not work. I'm sure you have heard of the rebound r. I suggest you steer clear of this. Find other things that satisfy your life. When you are really ready it will just happen. I think of it as the way the universe sets us up. If you ask ..."am I ready" - your not. You will not ask the question when you are ready. You'll just know.
If your ever in my neck of the woods..look me up.
Peace, Eric
"The difficulties of Life are intended to make us BETTER,not bitter". "Fear is a prison, where you are the jailer. FREE YOURSELF!" "Life is usually all about how you handle Plan B." - Jack3Beans