Bathroom Fan on dimmer

Hey! I just bought two Shelly dimmer 2 modules, and I was wondering if I could use one on my bathroom light and mechanical fan unit (they are in parallel). According to the spec sheet, the fan uses 13W. Dimming is not really necessary, I just want to have wifi on/off control over the fan, dimming is a bonus. And if it is not possible or dangerous, what other module would suffice for this?

Thanks for the reply. I think that the Shelly 1 or 1PM will do then. They are a chunk bigger though, so might be more challenging to wire.