The refresh just refreshes the current available quest. You can only accept 10 quests before they're unavailable to take any more. Once you've accepted all 10, you have to wait until it becomes available again. The -1 is showing that you have no more acceptances for reward quests left.
If you had at least 1, you could use the refresh to change the quest into a different one, but since you have none left, the refresh won't work, as there's no quest for it to switch from or to.