This look like a very old version of Arduino IDE. We do still support several specific old versions (but not all). Can you tell us which specific version you have? In old Arduino, find this by Help > About. The About message in old pre-2.0 IDE should also say which version of Teensyduino you have, if it's installed properly.
To properly install on old Arduino IDE (1.8.19 or earlier) you must run the special installer. Get it from
this download page. Scroll down to "Arduino 1.8.x Software Development (Download and Run Installer)". You
MUST USE THE INSTALLER for old Arduino IDE, not Boards Manager.
However, the error message looks like you have installed Teensy files using a newer version of Arduino IDE (2.0.4 or later) and the old Arduino (1.8.19 or earlier) is trying to use the files the newer newer Arduino IDE installed.
You have a few options.
1: If using old Arduino IDE, run the special installer meant for the old IDE. Quit the IDE software before using the installer, as the installer needs to be able to modify files. The installer applies patches to old Arduino IDE which should resolve this problem. Again, you only get this from the installer.
2: You could run the new IDE and use its Boards Manager uninstall the Teensy files.
3: Or you could use Windows Explorer. Special steps are needed to access the hidden AppData folder (accessing hidden folders is a very common Windows question for Google search or any Windows experts you may know...) Of course after quitting the IDE, you could try to manually delete the Arduino15/packages/teensy folder and everything inside it.
4: You could also use the newer Arduino 2.3.6 IDE.
Again, the only way to get the old Arduino IDE 1.8.19 or earlier to work is by running the special installer. Boards Manager before Arduino IDE 2.0.4 didn't work for Teensy. If you try to use Boards Manager in a newer version and then run the old IDE (which I'm pretty sure is what went wrong here) you get a bad install because the old Arduino IDE 1.8.19 tries to use stuff meant for the newer IDE 2.x.x. That special installer is the way to make Teensy work on old Arduino IDE.