The death card in tarot does not necessarily mean physical death. It can be the end of something: relationships, friendships, jobs etc. Although the death card can signify the loss of someone, a tarot deck can only show you one particular path in your future, this does not mean that it will happen, every choice we make in life alters our future, a tarot reading one day can be null and void the next by a single decision that you made the evening before.
Honestly I would take it as a pinch of salt although that is far more difficult when you are the one in the reading. It is very unusal for a tarot reader to be able to give you such specific responses to cards such as this, the cards are very much perseption based, one person may read the cards diffferent to another, making them far less reliable than simply telling the future.