You may need to connect your Honeywell RTH8580WF Wifi Thermostat to a different wireless network than the one it was originally configured with during installation. Perhaps you have changed the name of your home wifi network, or you want to connect the thermostat to a different access point in your home.etup Overview. This wifi thermostat, during initial setup, actually becomes a wireless access point with its own web site, that you can connect to and administer with a laptop, tablet, or smartphone (equipped with wifi option). Ethernet-based devices cannot be used for this part of setup.