In short, no 5ft 9in is not tall enough to use your physicality to your advantage. But, you are not short for tennis, either.
In professional level, physicality becomes more important, and it can put you at disadvantage. In amateur or recreational level, not so much. Bottomline - it shouldn't deter you from playing and enjoying tennis game.
Think about this, would you stop playing basketball just because you are 5ft 9in? You probably won't play center, but you can still enjoy the game.