How can i play Terraria without XNA on a user account without admin permission?

To play Terraria without XNA on a user account without admin permissions, you can use a portable version of the game that doesn't require installation. This version can be extracted to a directory where you have write access, such as your user folder. Additionally, you may consider using a game launcher that doesn't rely on XNA or check for any updates or mods that allow the game to run without it. Make sure to follow any specific instructions provided with the portable version to ensure it runs smoothly.