It will be more convenient if we get a quick summary view of the weather information when we click on the weather icon (for example 14°C) on the lock screen as shown in the screenshot. Because, it helps to get a quick view of the weather without unlocking the phone as well as avoiding any other distractions.
Image1: This is how a quick view of the current media file playing (in lockscreen)
Image2: likewise in Image1, if we click the weather icon as shown in red circle, a pop-up have to appear with more weather information (as shown in image3)
Image3: this is how i imagine it can be. You guys can make it more pleasing and useful and customisable as well.