No me temblará el pulso

[ROBINDESBOIS]

How can I say this in English?

Si es cierto que me ha mentido no me temblará el pulso en echarlo a la calle.

If I find he lied to me, I wont be afraid to fire him.

Is there a better way than I won´t be afraid?

[AngelicaDeAlquezar]

I won't hesitate to kick him out.