OP you are in a very dangerous place right now, regarding this man.
I understand how confused you are. It's very difficult to see the man you love and think you know, being accused of domestic violence. Abusive men aren't typically abusive when you meet and at the beginning of the relationship. They tend to dial it up slowly and you don't realise how damaging their behaviour is, especially if you are isolated or haven't had much experience whilst in it.
Abuse typically 'escalates'. That means it gets worse over time. It may remain the same for a long time and then get worse when you do something to change for example, talk about going back to work. If the abuser feels as though he's losing control, he may become violent.
He knows exactly what he is doing and it must have been going on for a while for him to start placing his hands around your throat. Abusers are manipulative, this means that they tell you what they know you want to hear or, they change just enough for you to feel safe enough. However they never change; they are always abusive. They play mind games in order to make you feel as though it's you who has the problem and they sometimes get others involved (triangulate).
You can't go into counselling with an abusive man You can't do anything to change him. All you can do is exit the relationship as safely as you can. The first step towards this is to make a safety plan. A safety plan helps you to exit the relationship whilst minimising risk. You can do this with a DV organisation.
I know this is a shock and I know it feels as though everyone is wrong and you know him but unfortunately, we're not. He's going to get worse and is showing signs of escalating violence. He could end up killing you. Please contact Women's Aid and start making plans to leave. Don't let him know you have plans to leave as the most dangerous time is when you are exiting the relationship.
A DV organisation can help you understand what legal steps you can take to get him out of your house and can help you organise that. They deal with this day in, day out so they will be able to advise you depending on your circumstances.