Highlights, Lowlights & Stubborn Kinks

A: If the hair won't be straightened by blow-drying it straight, then you could use a flat iron to straighten the kinks present.
Since you are only looking to remove a specific "kink" from the hair, you can use the formula in a targeted area and be able to avoid exposing the hair's total length to the chemicals.
The hazard with this method is that the peroxide used to neutralize any perm formula can lighten the hair's color, and can especially affect the color of color-treated hair.
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See also:
How to flat iron hair
Hair straightening and thermal reconditioning