Lint screen holder is full of lint

The lint screen holder is full of lint and not letting the screen go all the way in. What is the best way to clean it out? When the door is open, there is 2 screws at the bottom that help attach the screen holder. I took those out but in will not come out. I don't know if it is just tight or if there is something else I need to do first. And if that has a lot of lint, does that mean the whole thing needs to be cleaned out?
Thanks for any help!