I'm planning to take a large chunk out of her scalp.
I hope you are joking! That will really hurt her a lot.
I'm not joking at all. She often tells me that my character is rotten, that no matter what I do, I can never be good enough for her, she won't respect me unless I am smart, and will never treat me as an equal. She wants to stay with me, so she must love me, right?
You need to treat her better and not do things to harm her. You need to ask if you would like something like that done to you.
Not a problem, she will be happy to hear I'm sorry anytime.
it is not right to harm another person. Even if she loves you she could still have you jailed for something like that. You shouldn't willingly do things to those we love that will hurt.