英语翻译：……在您繁忙的时候打扰您……，……在百忙之中……

Sorry for interrupting you when you are busy with working, and simultaneously thank for you to check my email.

I'm very sorry to disdurb you when you are busy and will very much appreciate your busy schedule to be able to view my letter.

Sorry for interrupting you when you are busy with working, and simultaneously thank for you to check my email.

I'm so sorry to bother you at you busy time and so grateful that you can take your time from your busy shedule to check my letter(mail).

I'm sorry to bother you when you're busy,and thanks for checking my mail.