Who controls Oath of Scholars' trigger?
The controller of a permanent always controls that permanent's triggered abilities. This is covered in rule 603.3a:


  A triggered ability is controlled by the player who controlled its source at the time it triggered, unless it’s a delayed triggered ability.


The source, in this case, is the Oath of Scholars enchantment itself. This ability is not a delayed triggered ability, so you don't have to account for that.

So, Rayne's ability will not trigger if you are chosen as the target for your own Oath of Scholars.