Over your head? I don't think so. Consider that Green Iguanas are beautiful animals, and that many keep them as display pets. Iguanas are genetically programmed loners and are perfectly fine with that. Your female's life likely depends on whether you can keep her.
Are they housed together? It doesn't look like it. Can they see each other from their own cages? Are they familiar and relaxed with each other?
I can explain to you how to tame an adult iguana, but it's a rough go. You have to donate skin to the cause. Few have the will to do it.
Latch is behaving in a typical iguana way by preferring one caregiver over another. Often there is no way to persuade it to accept both. The enmity can even become strong.
Iguanas often do have makeup growth. It all depends on the individual ig, and whether it's eating right, gets clean water, is humidified, and is free of disease and parasites.
You didn't mention how long you've had them, or their snout-to-vent lengths.