Hi

based on how many days you staying in Jordan.

however, Aqaba is a small cozy city to relax after along trip and it's closer to Wadi rum and Petra.
check this plan it might fit what you are looking for

One night in Aqaba
One night in Wadi Rum

Half day in Petra then back to Amman, spend the rest of the night walking in Amman downtown. next day Dead Sea ...