Instead of Weather, I use the “News Feeds” tile type. It’s a bit deceiving that it’s called News as it can be pointed to any RSS feed as far as I’m aware. On my Fire HD 10 (that’s in portrait mode) I have a 5 x 3 tile in the centre that is the BBC Weather for where I am. It gives me a brief 3 day forecast and if I click on it, it opens a fullscreen detailed page with an extended forecast radar etc. I find this much more use than a simple tile with temperature and current conditions. Currently my tile points to BBC Weather - Forecast for Middlesbrough, GB which is the weather for Middlesbrough.
You can find details here: RSS Feeds from BBC Weather - BBC Weather