Background: Katherine Anne "Kitty" Pryde is a fictional superhero appearing in American comic books published by Marvel Comics, commonly in association with the X-Men. The character first appeared in Uncanny X-Men #129 (January 1980) and was co-created by writer-artist John Byrne and Chris Claremont. A mutant, Pryde possesses a "phasing" ability that allows her, as well as objects or people she is in contact with, to become intangible. This power also disrupts any electrical field she passes through, and lets her simulate levitation.
Context: Katherine Anne "Kitty" Pryde was born in Deerfield, Illinois, to Carmen and Theresa Pryde. Of Jewish descent, her paternal grandfather, Samuel Prydeman, was held in a Nazi concentration camp during World War II. Kitty started to have headaches at age thirteen, signaling the emergence of her mutant powers. She was approached by both the X-Men's Charles Xavier and the Hellfire Club's White Queen, Emma Frost, both of whom hoped to recruit her for their respective causes. Kitty was unnerved by Frost, observing that the White Queen looked at her as if she were "something good to eat." She got along better with Xavier and the three X-Men who escorted him, quickly becoming friends with Ororo Munroe. Ororo told Kitty who she really was and about the X-Men, which made the teenager even more enthusiastic about attending Xavier's school.  Their conversation was cut short when they (along with Wolverine and Colossus) were attacked by armored mercenaries in the employ of Frost and the Hellfire Club. The X-Men defeated their assailants, but were subdued by the White Queen's telepathic powers immediately after. In the confusion, Kitty was separated from the X-Men, and not captured along with them. She managed to contact Cyclops, Phoenix, and Nightcrawler. With the help of Dazzler and Pryde, those X-Men rescued their teammates from the Hellfire Club.  The White Queen appeared to perish in the battle, which meant she was no longer competing with Xavier for the approval of Kitty's parents. Kitty's parents had not heard from her in more than a day, because during that time she was first being pursued by the Hellfire Club's men and then working with the X-Men to save their friends. All they knew was Kitty had left with Xavier's "students" to get a soda, there had been reports that the soda shop had been blown up, and Kitty had been missing since. Therefore, they were angry at Xavier when he finally returned with Kitty in tow. At first, it seemed like there was no chance of Kitty being allowed to attend the school and join the X-Men. Phoenix then used her considerable telepathic power to erase the memories of Kitty's parents and plant false ones, resulting in a complete shift in their attitude towards Xavier. Kitty was then allowed to enroll at Xavier's school with her parents' blessing, becoming the youngest member of the team.
Question: What were her mutant powers

Answer:
Kitty started to have headaches at age thirteen, signaling the emergence of her mutant powers.