What version of Premiere Elements on what computer operating system?
What is the file size/duration limit of your email provider?
What do you estimate as the video file size of what you want to email?
Of the export choices, probably the Window Media one will give you the smaller file size.
Instead of emailing as file attachment, have you given thought to obtaining a shareable link from Google Drive or Dropbox and sending that link in an email to the recipient?
Please consider and supply more information.