Learn Italian: Arrivederci, dottore! A presto, signora! - "Goodbye, doctor!" "See you soon, madam!"

When you are talking directly to someone and using their title to address them, you drop the definite article (the words for "the"). If you were talking about the doctor instead of talking to him, you would say il dottore.

What does "arrivederci" literally mean?

It breaks down into a (until), rivedere (to see again), and ci (each other). So it literally means "until we see each other again"!

How does "A presto" translate to "See you soon"?

In Italian, the word a (to/until) is often used with time words to mean "see you at" or "until". Presto means "soon", so a presto is the standard way to say "see you soon". You can also use this pattern for other greetings, like a domani (see you tomorrow).

Would I use "dottore" if the doctor is a woman?

No, if the doctor is female, you would use the feminine form of the profession, which is dottoressa.