Yes, you owe it to yourself. You definitely don't deserve to be abused. Detaching emotionally is probably the hardest part of leaving an abusive relationship. They feed you crumbs of kindness to keep you hooked and off balance. You think about the good times and want them to return, but they become less and less, while the abuse gets worse and worse. Over time it wears you down until you become numb and dead inside. They are soul crushers. The sooner you can get out, the better off you will be. I am sometimes lonely, but I remind myself that that is better than being abused.
For me, getting angry about the abuse helped me detach emotionally. I didn't have a big blow out, I just quietly got more and more pissed off about what he did to me and the love I so freely gave him. The righteous anger was empowering to me and helped me gather the strength and courage to leave after 30 years of abuse.
I hope you are able to emotionally detach soon. There are abuse hotlines in the US that you can call for immediate support and encouragement.
My therapist has helped a lot too. I'm sorry yours had to cancel when you are at the turning point. That probably felt like abandonment by the one you turned to for help. Even though you logically know that stuff happens in other people's lives that forces a change in plans, it can still make you feel lost and alone.
You're a survivor, do what you know is best for you. Take time to really heal and don't jump too quickly into another relationship. Live for just yourself for awhile.