Website contact form not sending emails

The contact form on my website says message successfully sent but the message never arrives in my email. Sendmail quota shows usage but no message being delivered to me. I attached some screenshots. Any ideas?

statistics

Localhost surely isn’t the SMTP?
Or is it?

I have no idea. What settings do I fill on the screenshot below so that mail will be sent out?

We don’t provide SMTP
Google for SMTP GOOGLEMAIL

Then what sort of email service do you provide as my account says that I can send 50 emails per day?

I need to know what settings to use as I don’t want to use any 3rd party service just to receive an email from a Wordpress contact form.

Phpmail ()mail but it can be unreliable

Use Google SMTP