Welcome to the forum.
The best thing you can do is open her cage and let her choose if she wants to come out. If you make her come out she won't enjoy herself as she didn't want to be out in the first place. If she feels the need to come out, she will do.
Just imagine if someone tried to make you leave your house when you just want to sit indoors.
Do you have a play gym for her? Or perches on hr cage for her to sit on?
What type of toys do you provide for her in her cage?
Budgies like to chew on soft woods like balsa or shreddable toys like kabobs, so she will probably like to play with these. If she is interested in you, you can play with these toys and she might come over to you to see what you are doing.
If she's never had toys before don't expect her to be interested straight away. A lot of budgies find new things scary and if she seems afraid, you should keep the toy somewhere that she can explore it on her terms.
Some budgies just aren't as playful as others.
My flock are let out daily for out of cage time and I have some budgies who may only come out once a week.