Electrical wiring needs help @homesteading

Anyone know anything about wiring?
My thermostat died and it's COLD.
Sent my kid somewhere warm but idk how to fix this..
My wife swears it won't work bc I have emergency heat..
(I've literally never used it) if that's the blue wire on x can I just not hook it up?

Batteries have been changed twice.
The unit will come on with the slide switches. The temp up and down buttons do not work..
It won't let me see what it's actually set on. Adjust the temp up or down.
It has been reset multiple times.
The thermostat will not work at this point
at all..

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