Dear {Recipient},

I'm sorry for the inconvenience I may have caused you last {day of the week}. I didn't want to bother you, but there was no way I could {do action} by myself, so I had no choice but to ask for your help.

Thank you for obliging me despite your own busy schedule. Your assistance really meant a lot to me. I have {enclosed/included/attached} a {gift certificate/movie ticket/etc.} as a token of my gratitude.

Warmly,

{Your Name}

Dear [Name],

I am writing to apologize for causing you unavoidable discomfort. I understand that my actions have caused you to feel uncomfortable and I am deeply sorry for that.

I understand that my behavior was inappropriate and I take full responsibility for my actions. I should have been more mindful of the situation and I regret not doing so. I understand that my words and actions have had a negative impact on you and I am truly sorry for that.

I want to assure you that I will take steps to ensure that this kind of situation does not happen again. I will be more aware of my words and actions and will strive to make sure that everyone around me is comfortable. I will also take the time to reflect on my actions and learn from this experience.

I understand that my apology may not be enough to make up for the discomfort I have caused you and I apologize for that. I hope that you can find it in your heart to forgive me and I will do whatever I can to make it up to you.

Once again, I apologize for causing you unavoidable discomfort and I hope that you can forgive me.

Sincerely,
[Your Name]