Hello Kristen,
It sounds like 'Automatically copy changes' is turned off. Open Snipping Tool, click the 3-dots menu and click Settings to check that it's On:
The other option I like to have On is 'Multiple windows' so that I can have several Snipping Tool editor windows open simultaneously each time I right-click the taskbar shortcut and click 'Take a new screenshot' that I can then look through later (don't forget, for the editor window to open automatically for each screenshot taken in this way, depends on an app setting: Start -> Settings -> Apps -> Default Apps -> Screen Snipping. Click and then click again on “Snipping tool”. Click “Screen Snipping” -> “Set default”. I know it seems illogical to not set it to 'Snipping Tool' but there it is. Unfortunately, Windows has a habit on switching the link type back to 'Snipping Tool' seemingly after a Windows 11 update which is annoying as then the Snipping Tool editor window will then not appear without a second click on the notification at the bottom right-hand corner of the display - I now know those nine mouse clicks very well - I've yet to find a quicker way to do it).
I hope that helps.