A transducer of this type works best with a differential input amplifier and should preferably not be used with a single-ended input as your diagram implies. Additionally, because the case is likely to be grounded, you have possibly contravened the first requirement - that of NOT applying multiple grounds i.e. your output port is shown with a ground symbol.
If your excitation power supply is fully isolated from ground you can connect the output port negative terminal to ground. However, it will still be preferable to use a differential input if the cable-run can pick-up noise. See this: -
Best shielding against noise will be obtained by connecting the shield
and negative excitation leads.
And this implies to me that you use a grounded excitation power supply and differential (balanced) input measurement amplifier.