Annoying Windows "security alert" will not stop popping up

The extremely annoying Windows "security alert" message keeps popping up.  Basically it says that the identity of the website (like, my e- mail, or the Weather Channel) can not be verified.  Which seems ridiculous to me.  It asks whether I wish to continue.  I have to repeatedly (and I mean REPEATEDLY) click "yes" to make it go away.  Then it's right back again moments later.  Please help me get rid of this annoyance before I decide to go completely off the grid.  Thank you.