Dbx 286s in intgral audiocard in matherboard

will there be a bad sound from my microphone(xm8500) if I connect it first to the dbx 286s, and then from the dbx 286s I output the sound to the audio chip built into the motherboard. as I know, the built-in audio chips are not suitable for microphones due to the very weak preamp

 

The sound quality will be as good as your audio card, which will be digitalising the line level analogue signal output from the DBX.
For better sound quality you can get a USB audio interface which will convert the mic signal from analogue to digital.