Some computer manufacturers install Adobe Air routinely at the factory. (HP and Sony seem to install a lot of bloatware.) As seavixen said, it's OK to uninstall it. It was on my Sony Vaio and after about a month of finding out I didn't need it I uninstalled it. My machine is working just fine without it. If you find some program that needs to use Adobe Air it will prompt you and provide a link to reinstall it. Just as an example, most Windows 7 machines come pre-installed with Microsoft's Silverlight but very few things actually need Silverlight.
As an aside, you may want to upgrade your Adobe Flash to the latest version to avoid possible security issues with your machine. You have to use the Adobe Uninstaller first and then install the new version. Don't forget to UN
check the option to install the Google Toolbar or Google Chrome (it changes) if you don't want it. Uninstall Flash Player | Windows Adobe - Install a different version of Adobe Flash Player