Chord Qutest DAC

Hi,
I'm a newcomer having just registered so hello everybody.
By way of introduction my system comprises,
Pathos Inpol II Class A hybrid amplifier (Italy)
Acoustic Preference Maestoso 2.0 Floorstanding speakers (Connected via Chord Signature speaker cable) (Slovakia)
Rega Saturn CD Player (Not 'R' edition)
I've just purchased the Chord Qutest and whilst I've been running in a few days, I do have two questions if you could help.
Q1. It says on the instruction to leave the Qutest connected to its own power supply. Does this mean that I leave it permanently connected to power 'On', even when not in use for a number of days, or simply connected to power source but switched off therefore not receiving any power when not in use. The unit is getting decidedly warm and I just wanted to be sure I am interpreting instructions correctly.
Q2. What forces change to the sample rate? This doesn't appear to be a manual option but automatically selected by Qutest so assume it is driven by source. The reason I ask is that I listed to primarily CD (and vinyl) and although I have played differing CD quality recordings, they all appear to playback via Qutest with red (44.1) in viewing window. Change in quality of CD recording doesn't appear to change this? Is this correct as I should only expect a change here if I play DSD, SACD, Hi-Res music streaming sites etc. e.g. the original recording or source is different.
Help and advices would be greatly appreciated.