Diana's powers should be gifts of the gods, when and how she gets them is up to interpretation. My personal belief is that she was innately blessed with them during her creation from clay but, she never really got to test the limitations or lack there of on the island. Only in the magic realms or cosmic space does she really get to cut loose her real power. She was created to be an equal to Superman, don't see how or why she can't be.
In terms of what god blessings/powers she should have...
- Demeter, goddess of the earth and harvest; Godlike strength and durability drawn by the primordial earth mother, Gaia. She also gets super breath due to her strong lungs and can hold her breath for days.
- Hermes, messenger of the gods and god of speed; Godlike speed and the ability to fly
- Artemis, goddess of the moon and hunt; eyes of the master huntress (Diana's insane reflexes and she can see atoms) , unity with nature/animals (Diana would have an encyclopedic knowledge of all plants and animals) , and her ability to talk with all animals.
- Apollo, god of the sun and healing; Godlike healing factor allowing Diana to heal from deadly wounds in minutes
- Athena, goddess of wisdom and warfare; Great wisdom, a strong mind (how Diana can resist mental manipulation) , and the Grey eyes (like how Diomedes was blessed in the trojan war to see gods/souls and interact with them, Diana can also see and sense magic)
- Aphrodite, goddess of beauty; Stunning beauty (pretty self explanatory) and a source of love
- Hestia, goddess of the home and fire; unity with the flame of Olympus
- Zeus, king of the gods; unity with the eternal lightning
- Hecate, goddess of magic; the witch mark
The lightning and flame powers are magic and far more dangerous and power than anything in the natural universe. Her witch mark is something she needs to learn to control without losing control. Her witch mark gives her access to some of her older golden age powers like telepathy, teleportation, and astral perjection.
Diana's wisdom is said to be equal to Athena, so she would naturally excel at what Athena is known for... leadership, math, justice and law, medicine, crafts, war strategy, science, etc... so Diana is a nurse, lawyer, general and warrior, scientist, and ambassador all at the peak of their respective fields. She obviously spends an equal amount of time in the library studying as she does training on the field. Her smarts start as naturally gifted but, she still needs to grow and evolve and learn to get to that peak.
Equipment: Everything is made by Hephaestus using adamantine, amazonium, and Nth metal (except the lasso, lasso made by Hestia using the golden girdle of Gaia)
Champions armor (costume) - indestructible, fabric made from the Nemean lion's pelt, metal armor from adamantine, self repairing
Lasso - indestructible, has infinite length, revels the truth, commands people, manipulates souls, can channel magic
Bracelets - indestructible, creates a concussive blast when hit together, can redirect projectiles, can channel magic, can summon her sword and aegis
Royal tiara - indestructible, cuts electrons off atoms sharp, acts like a boomerang
(new) Royal belt - originally Hippolyta's belt from Ares, blessing of battle the longer you are in a fight the stronger and faster you get
Sword - indestructible, cuts atoms sharp, can channel magic, can be used two handed
Aegis - shield of Athena and Zeus, indestructible, possesses Medusa's head that turns mortals to stone can only be activated by the user