It's a comics thing. In the original oldschool DD, Matt's will is too strong for Killgrave to overcome and Daredevil is the only hero he can't control. There's even a classic quote from Killgrave, something along the lines of "*evil cackle* You're the only one able to resist me, Daredevil, so you deserve to die!" which there's a variation of in this fic.

Of course it doesn't always work and there are moments when Killgrave amps up his power and even Matt is overcome, but the general rule is that Daredevil is immune to Killgrave's powers.