Rydberg microwave electrometry has attracted great attention, due to its potential application in radar and communication, but simultaneously achieving high sensitivity and broad instantaneous bandwidth remains a challenge. This study demonstrates an enhanced instantaneous bandwidth of \ifmmode\pm\else\textpm\fi{}10.2 MHz with sensitivity of 62 nV cm${}^{\ensuremath{-}1}$ Hz${}^{\ensuremath{-}1/2}$ by the amplification of one sideband wave in the six-wave-mixing process of a Rydberg superheterodyne receiver.