I also heard that @Fitness First Gym in Abdoun has female only hours in the morning, and they give swimming classes to children of all levels. My friend's 3 year old learned to swim there and she said the instructors were great with him.
Wish I could help but I doubt you'll find any Vietnamese restaurants in Jordan. The closest thing will probably be @Umami Asian Fusion which supposedly serves Asian Fusion basically their menu is a jumble of popular Japanese, Chinese and a few Thai dishes. The palette in this country isn't as refined as you'd imagine.
I suggest you contact the guys at @Tropical Desert Trips because they all have to take them so they might be able to refer you! Good luck and please let us know if you find anything
@smartbuy has some good deals on AC systems. Their discounted collection is ranging from 60JD to 400JD. But if I were you, I'd go now cause I'm pretty sure they're selling out in this heat wave.