Answer:
An e-mail wouldn't be the best way to deliver this message since is in reference to a personal matter, some things would need to be changed or eliminated in order to send it if it so.
Explanation:
First of all the employee is asking for some time off to do some personal things, which makes it more delicate than daily basis office situation, taking that in consideration a much more polite vocabulary should be applied, besides in the e-mail the answer is being sent not only to the specific addressee but it has selected the Cc. section with all the other contacts.