Regular users cannot install this update, as IE needs to change system-wide settings, dlls etc. but even if an admin logs in automatic updates do not automatically install it. So, you can create a startup script (not logon script, which will have the permission user have; ie. not admin), which will have permissions to change the settings and install the software.
My suggestions would be to have a startup script schedule a job that runs within 10mins or so. Then that job installs the update for the user. You can put the installer on a share where computer account (which the startup script will use) has access to. For example, under sysvol or a folder where you specifically give domain computers access to.
You could also create that scheduled task use a service account and give the service account permission to the folder where you host the installer. However, you need to make sure that account has admin privileges to be able to install an app.