Apple Watch Connectivity
Do you have to be connected to wifi to respond to text messages on the watch?
Apple Watch, watchOS 2.2
Do you have to be connected to wifi to respond to text messages on the watch?
Apple Watch, watchOS 2.2
Hi
If your watch is connected to your iPhone via Bluetooth, your watch can be used to reply to both iMessage messages and SMS / text messages, subject to your iPhone having the required connectivity at the time (cellular, mobile data or Wi-Fi).
If the paired iPhone is not available via Bluetooth, Apple Watch can connect to a known 2.4GHz Wi-Fi network. When connected in this way, it can still be used to reply to iMessage messages. If your cellular carrier offers Wi-Fi calling and you have enabled this feature on your paired iPhone, you may also still be able to reply to SMS / text messages (subject to this feature being supported by your carrier).
More information:
About Bluetooth and Wi-Fi on Apple Watch - Apple Support
For the best performance - including the most power-efficient communication between your iPhone and Apple Watch - keep both Bluetooth and Wi-Fi permanently enabled on your iPhone.
Apple Watch Connectivity