L is teaching me that hate is also an important human feeling. As weird as it sounds, she's proud if me for being able to feel it even if it's directed at her. She knows I would never hurt her intentionally, and feels comfortable with my anger and hate.

Hate isn't the opposite of love. Disgust is. Usually, you feel hate because you care about something.

It's good that you are getting in touch with your feelings. It's good that you're planning on expressing them. These are healthy things. I do hope your T is open to them and has empathy for you.