my MacBook air is not letting me update it will sit and load for days and still want let me how do i fix it

Is the User profile MacBook Air 13″, macOS 11.6 accurate ?

There are persons who will attempt the Monterey upGrade but with out dated and not fully up to date versions from previous versions of macOS.

Suggest updating Big Sur to the current version 11.6.4 - if not already done and then attempt the Monterey upGrade.

What do you mean to load?

It appears you have started upgrading to Monterey.

What is current macOS version?

What year MacBook Air?

How far did you get in the upgrade?'What shows on screen?

Have you tried shutting down and restarting?

Depressing and holding the Power button untill the Mac shuts down may be necessary.