Hey @Maggie, welcome to the Local Community! Thanks for reaching out.
Catalina has locked down applications quite a bit, which ramped up our focus on the new versions of Local (the 5.x beta available here - 5.0.7 (Beta)).
If you’re still using version 3 of Local, you’ll need to make some adjustments to the system security settings - https://getflywheel.com/wordpress-support/running-local-by-flywheel-on-macos-catalina/
Let us know if that doesn’t get you up and going!