How can I make my Adobe Reader work?

Download the current Adobe Acrobat Reader DC that is purposely built by Adobe to work with macOS Catalina. Do not click the Adobe Acrobat Pro trial button.

If you are using any older Adobe Reader 9, 10, 11, etc version, they are not compatible with Catalina.

Please read the following user tip and restate your question/problem in detail: Writing an Effective Apple Support Communities Question - Apple Community  

What happens when you try to launch it? What version is it, the latest? Have you run any "cleaning", "optimizing", "speed-up" or anti-virus apps on your Mac?