Dear Mary:
I am writing this letter for offering my appology that caused by cultural difference between Japan and China where we would introduce our guests to host's family members first at the first meet, which is reversed when it comes to Japan. I would like to pologize for my given cold shoulder before as I did not relize it and I hope you can understand that. I will pay more attention to this cultural difference in case another misleading circumstance happens.
I really enjoyed the meal at your home and I wish I could be given another invitation to your home.
Yours
Zhenyoumei
真心凑不到150字,楼主,你补充一下吧。