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Hello. If this is what you have, such a wiring error would have damaged the printed circuit card (control board) that the sensor connects to most likely.
If that is what you have you can wire wire them separately, the thermistor is a resistance circuit only, if that fails you will need to replace the entire humidity/ temperature sensor and quite possibly the control board.
We can go from there as needed, if you want to do some tests you will need both a vdc and 4 to 20 miliamp signal generator.
Note regarding electricians: One in a few hundred is a qualified HVAC controls man, the rest are only trained in running the power connections to equipment, no controls and nothing internal to the units... that is an HVAC specialty.
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