You cannot play cards until all abilities complete. That means that first you complete Hur. After the player draws their 7, if another player has something like Gifts of the Magi and needs to complete that ability then you must do that before anyone can insert a Dominant. Once all active abilities are completed, whoever plays their Dominant first gets to activate it first.
In the event that two people play their Dominant at the same time, then whomever was responding to their own action gets priority. For example if Gifts of the Magi was the last game action, the player that draw from GotM would receive the tie breaker.
