Others more knowledgeable than I may be able to improve upon what I say here. My understanding is that this KB can't be uninstalled and you're stuck with this decision, implying that trying to install Flash again later will fail. That program will remove the reference you see in Control Panel, although a search for 'Flash' on your C: drive will probably find more references remaining. Microsoft has released an optional update for Windows 10 and Windows 8.

Click on the 'Download' button on the right and you'll get a box where you can click on the blue text, whereupon another box will allow you to run or download that executable.

Click on the blue text to the left and you'll see some explanatory info about that software. You'll have to choose the entry for your system mine is the 2nd entry on the first page, although to a certain degree they may be interchangeable. Microsoft is preparing to issue two more Windows 10 updates in June and July that will eliminate unsupported Adobe Flash Player from Windows PCs for good. Go to Microsoft Update Catalog for KB4577586. I'm no expert on any of this stuff, so previous answers may be better, but you may want to consider this:

Remove flash player windows 10