Set up an email auto responder letting people know that you won't be able to answer them immediately if you're going to be out of the office for a while.
Here are three examples of writing an auto responder message:
Thank you for your message. I am out of the office from (date) to (date) and I will reply to you when I return / on my return.
For urgent matters, please contact (name) at (email address).
Thanks for your email. I'm out of the office / away until (date). I'll reply to you as soon as I return.
Our offices are closed until (date). I'll reply to you when I return.