The Flying Doctors (1986)

Season 7: Episode 9

David falls in love with a British woman, she is flying around the world on her own, she is only in town for a few days while her plane is being fixed. But, then David finds out she is very ill and has hodgekins disease. She wants to travel and sees as much of the world as she can before she dies. David asks her to marry him, but she turns him down because of the travelling.