thanks for all the answer, unfortunetelly, this case is very particular and non of the suggestions apply totally on this case.
First of all, i already had a couple of conversations with my tenant letting her know that "by law" in Quebec, in order to do Airbnb in a rental property, the consent of the owner is a must. She knew it and still doing it.
The laws in Quebec aren't very straight forward, as subleting is permited, but not for lucrative porposes. So the case has to be proved.
This tenant is renting all the rooms not only on airbnb, she has adds in diferent sites, including one local site and she is no longuer living in the apartment.
The point is that she started a small busines subleting rooms using different ways for promoting them, including Airbnb and even when the amount of money she is making is not consider as a legal argument, the amounts she is charging are alsmost disgusting: she is making with my property 4 times the rent she is paying, that is totally dishonest for the subleters and me as an owner, who have to pay for all the repairs that she constantle demands ( and not in a nice way), morgage, insurance, etc.
Her lease doesnt mention anything about subleting of doing Airbnb.