@Shotgun Bear Do keep in mind that I am abrasive-- I say things directly and without filter, I do not intend to be rude or dickish.
Now, lets begin.
Appearance:
That reference picture is for the garb she wears yes? ... Because it's entirely ridiculous (not to sound harsh) for the kind of world we live it. I have a tendency to stray away from characters who don't wear pants, honestly. The stereotype guild rule, born before the fall, "No Mary Sues" means you should create a sensible character for the world you're in. It's a cool picture, yes, but inappropriate for a desert wasteland with the hot desert sun bearing down on you all day. I do have some leniency, meaning not everybody has to wrap up like a middle eastern dweller, but what you have is a bit much.
That physical disability I don't feel is justified, I mean, why? I remember skimming over your CS, and I'm sure I will get to this further down, as I read in stages between critiquing, and I remember something about the heat and friction making a lot of clothes unbearably hot. But, Technical Question, if her skin vibrates/resonates at a temperature hot enough to cauterize her skin would that not cook her clothes off very rapidly, let alone set them aflame? Also there is some slight differentiation on cauterization temperatures, like between a paper cut and a stump. I won't mention all the medical shit like large arteries being cauterized because the lax side of me doesn't care to get that technical.
Backstory"She felt her bones move. She felt every splinter mesh and crack and force itself together" -- How? She's magnetic not kinetic, and I don't believe manipulating her own magnetic field, the small one generated by her body, the incredibly, utterly, tiny one, would produce this effect. I won't talk about the "heat" factor here, we'll get to that.
GearChutney-- Nothing really wrong here, but I don't have a clearly "painted" picture of what it looks like, just what compromises it. Also.. what the fuck is it? Is it a car? A weapon? Charge time? what o.o?
Scarf: What foreign matter? Just dust in general, or is it supposed to keep her from attracting forks to her body, and etc?
Powers and Technical Questions[Please be aware of the difference between Magnetism Manipulation, Bio-organic Magnetism, And Electromagnetism Manipulation.]
I don't understand the concept of "hot-freeze a cloud solid". Please elaborate.
She can pull non-magnetic objects using their ...magnetic field, to an object (with a strong magnetic field I assume). Doesn't quite make sense to me. I would stick to metals, ores, lodestones, and natural or metallic components, I'll discuss this more below; otherwise your character will become overly complicated to the point of being declined. Do keep in mind that things like glass, wood, or plastic will not be affected, but I'm sure you know that.
I believe Magnetism and "Frictional Force" are not exactly one in the same. You want her to be able to cauterize her wounds, by having this passive heat on her body constantly from what I assume is the disturbance of her phenomena affecting her own magnetic field, causing kinetic friction and enough heat to produce the intended effect. But, as above, Bio-organic magnetism is another thing entirely and would allow a very powerful control of organic things-- such as people-- such as crushing them into a ball, which I cannot allow, as the only real use of that is basically instant killing things or deadlocking them in a contest of will. However, I am not outright denying this power, I would like you to defend it and try to explain the why's and how's to make this seem reasonable.
I see the part now, about her own unstable magnetic field, which would indeed cause a degree of heat on the exterior of her body. Hot enough to cauterize wounds? ... and her eyes? Sear her tongue? And all the lovely other external fleshy bits? Also, having this heat passively present would be like continually cauterizing somebody's entire body, which would basically just eventually burn her away as she suffers a certain degree of burn damage, then cauterization, then burn damage-- basically burning alive very, very slowly. Also, did you just state she has a raging fire in her core?
"Fucking Magnets" are you saying that when she touches something that is affected by her magnetism, it will automatically tear itself apart? Why? Magnetism is just attraction, and with something as small as a gun it should just be strongly attracted to her hand, unless her own unstable field creates a torrential whirlpool of varying degrees of attraction in a very close proximity (physical contact) to which it would affect the gun in such a way as to tear it apart? Also, trying to magnetically attract something with a large mass, balanced against its resistance to velocity, she would probably tear it apart. But in all of this, because of the gun-factor, how can you justify her driving a car without it breaking apart?