Don't quench.
I'd imagine it's not high carbon steel anyway so quenching won't do anything to the internal structure of the steel but it could cause stress fractures. Quenching only works to harden high carbon steel if you heat it to critical temperature anyway which is a little over 700 degrees C (incandescently hot and up to a temperature where it's become non-magnetic). Probably hotter than you'd be doing to bend/forge it. It's also normally quenched in oil unless you're making super-hard tool steel pieces out of water-hardenable steel like lathe cutting tools. If you did succeed in hardening it, you'd then need to temper it back a lot because hardened carbon steel is brittle and could well snap leaving you with shards of kickstart embedded in your leg.
Normalising by heating the whole piece then allowing it to slowly air cool a few times would help reduce internal stresses caused by the bending.
Interesting video on the properties of non-hardened, hardened and tempered steel here:
https://www.youtube.com/watch?v=6jQ4y0LK1kY