My boyfriend is angry at me because I talked to his daughter mom about his family when I was angry. In 3.5 years, it is the only major issue we have had, other than him dealing with my two teenage sons. He says I hurt him to his core, and could have caused him to loose seeing his daughter. He says that he needs time and space because I hurt him to the core, and that he will never ever trust me.

Then you have to respect that. You apologize and then give him the space he wants

If you purposely hurt the people you love when you are angry, then you will always have problems in your relationships. Anger is an energy that comes from many sources (usually pain). If this anger energy is not safely released, it becomes a force to be reckoned with. I have found that physical exercise is a great way to release that negative energy within myself. Also, anger management classes are not just helpful for people who are physically violent. I hope that you can find a way to gain back your boyfriend's trust. Admit to him that what you did was wrong and apologize for it, tell him what caused you to do it (your anger caused your action - not whatever it was that made you angry), tell him what steps you are taking to make sure that it doesn't happen again (for example: "When I get angry, I will go downstairs and hit the punching bag 'til I cool off"). Good luck to you.