So apparently all my mails were sent to an Outlook mail, even though I do not have one because I have had the POP settings, so my question to anyone who is better tech savvy than me, is there a way to read them, or they are gone forever?

Your description is fairly vague and leaves one guessing. For instance Outlook in this context could either refer to a program or a service, but then you say that you don't have one because of "the POP settings".

I don't know either Outlook very well, but POP is a protocol that could perhaps retrieve mail to the former from the latter (or a similar service) for reading (offline or otherwise). The nature of POP is such that it would be likely to delete the mail in the service end of things once they have been downloaded. However I guess it is possible that those mails are just moved to some sort of a recycle bin. Have you checked?

I've seen configurations for POP3 that state it would leave a copy on the server, so you can't assume it was deleted on the server... Then again sometimes it could delete them right away...

You need to be more clear and detailed about what service and programs you're using, before we can try to help you.

I am using Yahoo mail and like I have said I had the POP settings on and read in description that my emails are sent to an Outlook or Thunderbird client and I don't know what is the trouble because on my old mail had the same settings but I was reaching my mail, now not so much.

How do you check your mail? Do you log in through their webpage, or use a program?

POP3 allows you to check your mail using a program like MS Outlook or Mozilla Thunderbird. Depending on your settings, it is possible that after downloading the emails, Outlook/Thunderbird would delete those email from server. In this case, the emails are still saved on the hard disc of whatever computer that had Outlook/Thunderbird installed which you used to open the emails. There might be methods of getting them back on server, but it depends on what program you used.

Turn off POP3. It's outdated. If you want to use an external program like Outlook, switch to IMAP instead.

EDIT:
Since it appears from your first post that you don't use MS Outlook, is it possible that someone (or you) logged to your email using Outlook on a different machine using POP3, and forgot to turn on the "leave messages on server" setting?
In this case, you will most probably need access to that machine if you want to recover your emails.

First of all I am a girl/woman/lady or whatever you want to call me, but not a guy. I thought the username was specifically, but I guess it was not.
Second of all, I do not had any mistakes in my email and what you said about Thunderbird it is right. Apparently I can not recover my old mails, so I will mark this question answered.

Thanks for the help everyone!

It could of been worse if you did it the same way as the well tutored *Hilary* :)