You don't want to see him so don't text to say that you do. He didn't treat you well. It's hard to know how bad things were from your posts. I know it's not easy. My two adult children are in a similar situation. To be honest they lie and make up things like mum is doing such and such/they have plans with Tom, Dick & Harry.
If you really don't want contact at all and if you are scared of him don't see him. Text him and say you feel upset over x, y and z and don't want to continue contact arrangements because you are no longer a child. Spell it out short and sweet.
I know it's not easy but you can't be bullied by him all your life. Does your mum have any suggestions.
If you can't face saying you want no contact just text and say you don't want to stick with the contact arrangements because you are not a child anymore and you have made other plans to see your friends over Xmas which incidentally is 100% normal. Healthy parents get this. Say you can meet for lunch on whatever day.
If you want to cut him out of your life write a short letter spelling it out.
You only have one life pet. It's very hard, like I say my kids are in the same situation. I constantly make up lies to give them an excuse. In my view he doesn't deserve their loyalty as he treated them badly, including incidents of assault and scary verbal abuse.
They don't want to cut him off completely because they feel sorry for him. They have distanced themselves and contact is gradually being lessened.
He doesn't deserve a daughter like you. Perhaps you could seek counselling to deal with the trauma of his abuse. Women's Aid can give you advice. Ring them they are great. They don't just deal wit has spousal abuse
I really wish you well. If you can find the support you need you can find strategies to stand up to him.
I will be thinking about you. From what I have seen with my kids and some of their friends this is not an uncommon situation x 