Wow, that would be harder if an enemy was attacking you and you couldn't attack it.
I see where you are coming from with past experience if you were surrounded by enemies. Everyone gets to go in one round.
In this case, no. You fight one enemy at a time and only move on when you kill it.
I added
"Focus on one enemy at a time:
1...
2...
3...
4...
5. Earn your reward. Once the enemy DIES, gain the gold reward listed. Move to the next enemy if there is one."