basically the female version of Ice King from another universe. She shares his abilities and seems to have some more tricks of her own. She is way more evil and crueler than Ice King using way more aggressive tactics (where Ice King would sneak through a window to confront a princess Ice Queen chucks a glacier / giant ice spear and smash / impale the building) She has the ability to fly (where Ice King uses his beard she uses her lightning shaped eyebrows) and has other magical items.
Her main magical item is her tiara / crown which she forged using stolen magic. This gives her complete and utter control of all ice / cold / snow as well as giving her high mental resistance / immunity to mental shenanigans (it was stated that Ice Kings crown protected him from Lich Kings hax mental shenanigans). These ice abilities can be used to perform a variety of attacks / moves including summoning snow / ice constructs shooting icy lightning from her hands, flash freezing her opponents, summoning large ice mountain spikes, creating snow storms / causing snowfall to happen, summoning ice spikes from the ground creating ice dome shields etc (manipulating water in the air to also create shields etc). She has also shown that she can do a "Slush Beast" style mode (seemed to protect her from some damage and causing a mist / cover upon explosion / destruction) and shapeshift (or at least put on a very very very very convincing costume in like a second lol). She can also manipulate any ice in the area telekinetically.
She also has the "Wizard Eyes" which allows her to see things that others can not (as well as crazy crazy crazy in her face all the time)
Another extension of her powers is Fridjitzu but she apparently keeps this use mostly a secret and rarely uses it in battle (not saying she won't because as stated she is way more aggressive than Ice King and most likely to use whatever shes got)
Fridjitzu moves shown: http://adventuretimewithfinnandjake.wikia.com/wiki/Ninjas_of_the_Ice:_The_Art_of_Fridjitzu
She would also most likely cheat when she needs to (as Ice King shows when he uses hidden nunchucks to OHKO enemy wizards during WIZARD BAAATTTLLLLE!!!!)
yeaaah... =P
probably missing some other stuff but meh
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