Themes
I'm hardheaded, and I'm prideful. I want to apologize clear back to the first time I hit you.
— Bud · Urban Cowboy

Behind the line May contain spoilers.
Our reading
An editorial interpretation.
Bud names stubbornness and pride before extending his intended apology back to the first act of violence. The wording recognizes a history rather than a single recent incident. It states a wish to apologize, but does not establish sincerity, repair or how the other person responds.
Context reviewed