Chatbot in dialogflow

I need an chatbot that will help make appointments with a few different doctors based on the type of specialty and appointment they are looking for. Some of the main feature of the Chatbot; - Should be able to recognize probable question and propose available doctor for the time requested for appointment or alternatively propose doctors for ailment. - The chatbot should be able to look into doctor's Calendar (outlook and google calendar) first 3 available appointment. If patient pick date or time, day or month then chat bot should look for appointment within the choices picked by patient. - When patient makes decision on appointment chatbot should create an appointment between doctor and patient. in both their calendars (chatbot should take patient's email ID and phone number). - Chatbot should utilize AI functionality to pick conversation and help patient refine query and propose appointment. -The chat bot should be integrated into my website.