中译英:"非常感谢您能在百忙之中抽出时间来查看我的电子邮件"

Thank you very much for taking the time to check my e-mails。

Thank you very much for taking time from your busy schedule to check my e-mails。本回答被提问者采纳

I appreciate it very much that you've spared your time to read my e-mail.

Thank you very much for taking your busy time to check my e-mail.