I don't think any airline will allow a dog to travel in the cabin. But you should be able to bring her in an animal carrier on virtually any airline.
you would be better contacting an airline not many will let dogs travel in the cabin but they can travel in the hold in the right size container they will be ok there as they are checked by the airport animal welfare centre before they go and the hold would be heated
No airline allows dogs to travel in the cabin. They all have to go in the hold.