Assault?

I was in an altercation with my partner the other day.

Long story short, he was yelling at me for shutting the door on him so I leaned into him with the "intent" to have him leave the room. He was near the doorway. He didn't budge at all. He didn't get hurt. I started closing the door again and he stepped back. I held the door for a brief moment and told him to stop. He was shouting "Physical abuse! Get your hands off me!" Everything happened so fast and ended as quick as it started.

He then shouted that he was going to call the police. He never did. Our neighbours likely heard and he told his family I physically abused him.

He says this is considered "assault" and had he called the police, I would have been charged. Thoughts?

In my country, assault is..
".. the person being charged had direct intent to inflict harm." But it also says something about intent to move by force without consent.

Please don't lecture me about it. I know it was wrong. This is the second incident in the 6years we've been together, and in both cases, he was being verbally abusive. I get he was mad "this time" for shutting the door on him.

I just want to know, is this considered assault or abuse? I didn't "push" him. I "leaned" into him with my hands on his arms.