Question about Amazon Fire TV Stick with Alexa

The stick is connected directly to the HDMI connection of your TV.

SwisscomTV runs via the IPTV box from Swisscom or via a standard browser. Since the Firestick is not suitable for operation via a web browser, I would not recommend this.
In short: SwisscomTV via Firestick possible ? = NO.

That means it should also work with Swisscom TV? And does this incur additional costs or is it only the costs of the stick and possibly a Netflix subscription?