I second Erland's approach: create a sproc that will perform the tasks that need to be done and use one of the options described in the article he referenced.

We do the very same to let a user with low privileges start a SQL Agent Job.

As a side note: It doesn't matter if she has the permission to do what that SQL Agent Job does since this is done using the privileges being used to call the Job (either the Windows account that's running sql agent or the proxy being used).