Wizard? Sorcerer? Rogue? Pfffft...
Clearly she's a Barbarian. She's just roleplaying her character as a telekinetic fighting type and the crystal is her greataxe. Within the game world she launches it, Yondu style, at her enemies for 1d12+5 slashing damage. The Rage State just represents her going all "Carrie". She's actually unarmored and that's just how she describes her character's clothing.
Or maybe she's a Warlock, and the floating crystal is how she communicates with her patron, a friendly and powerful denizen of Mechanus. She wears leather for the same reason blacksmiths do: To catch the spark that ring off from her spells without burning her.
Wait, no. She's a Ranger! Leather armor half-elf desert strider. She carries two short swords in the same scabbard, and the crystal is a clue to the creature she's tracking that doesn't belong in her territory.
Then again, she could be an Arcane Trickster. But what if she's a Thief Rogue and the gemstone isn't floating, she's just tossing it in her hand while she approaches her fence in a sea cave near the old Smuggler's Tunnels?
Ahhh, nope. She's a Psi-Knight Fighter who prefers light armor.
No, monk! The Shortsword is a monk weapon, after all!