It's normal to have emotions, but the question becomes how does one manage them?

If someone is explosive all the time, then they'll be pushing people away, no?

Still, one needs to look at the reason for anger and seeing if one can find solutions to managing it and expressing it. It sounds like you should have a safe space where you can talk things through, not just be told that you can't trust your emotions. That sounds wrong to me.

I've heard anger is a secondary emotion and that there are primary emotions such as fear that are often behind the anger. Food for thought.