Shy fish such as navarchus or regal need QT to be acclimated to captive life. QT makes the chance of successful acclimation much higher. The worst thing to do is dumping a shy fish straight into DT and expect it to compete with other fish on foods that it's not familiar with. that wishful thinking almost never happens, and the end result, most of the time, is that the fish gets too scared to come out and simply starves to death.
I would suggest that you set up a proper QT system and put the majestic angel and wrasse in there with PVC fittings for hiding. the cost of a QT setup is only about half of the cost of the majestic angel, and can be placed anywhere (i've heard of people putting it in the closet).