I’m not aware of one in Qawra that does the Stubborn but most dive centers on the Island will pick you up from the hotel. Depending on what time of year will also so limit what centers are able to get boats running. I would suggest trying any of the following all have good reputations and can offer twin tanks etc unless you want to dive the local way on a single (not recommended).
Or if you have a buddy, your own kit and transport etc you could try booking a place on the boat direct with Owen at Barrascuba - Dive Leaders his boat is used by most of the dive centres for the likes of the Stubborn etc.
It’s a great dive so hope you manage to get on it.