I am building a web app were in the frontend has a contact form with which users can communicate with me-being the admin.

Do you think I should store this mails to the db?

Now, I just send the message to my inbox and no further action taken.

certainly, it is up to me to decide what to do, I wanted to hear some opinions though.

Cause someone might argue that there is no need to store in the db if I gather all the emails in a folder in my mailer(MS-Outllok).
These are mails to be read only from the admin(me) and not the users of the site, the users are only the senders.