In case you want to render issue email audit log in your email, you must edit your email templates. The key attribute is $!issue.auditLog that returns a list of email audit log entries or an empty list.
When selecting "Email Log" in the Field Picker dropdown, you will get instructions on how to easily include issue email audit log information in the template.
In case you want a customized display (e.g. apply different layout or styles), then you can start to add these template fragments directly into your templates and customize them according to your needs.