I'm getting "your connection is not private" when I click on saved websites in my homepage

I’m getting “your connection is no private” to websites I have saved on my home page (StartMe). If I click off the selection, then go back & click on it again, I can get to the site. However, my concern is safety and security.

I don’t want to change home pages - too much to do to set up again. I like the way my bill pay sites, shopping, and research items are segregated.

Is there something else I should do to my Brave connection that makes it safer?