I am not sure I understand your question. If you received a notification from Jira, you typically can just reply to the notification itself in your email client. This in turn should then add your comments back to that issue in Jira when you do this.
You don't have to reply to the email itself though, you could instead visit the Jira site directly in your web browser to respond to such a notification.
You'll need to setup an incoming mail server + mail handler for this to work with standard jira.
Checkout this documentation to get started: https://confluence.atlassian.com/adminjiraserver/configuring-jira-applications-to-receive-email-from-a-pop-or-imap-mail-server-938847645.html
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