Yes I was just giving my point of view. Not answering to you both personally.
However, I think we all may agree with a very simple definition of organism that wikipedia gives us, and that probably many dictionaries give:
Any contiguous living system that in at least some form, is capable of response to stimuli, reproduction, growth and development, and maintenance of homeostasis as a stable whole.
Can Earth respond to stimuli? I think it can not. Not in the way real living entities do. Of course a stone can respond to stimuli: it will brake if hit, but this doesn't mean it is alive.
Can a planet reproduce? I think it can not. It maybe can split into parts (the moon is said to be a part of Earth). But again, keeping the stone analogy, if you turn a stone into pieces, you will certainly not say that the stone is capable of reproduction.
Can a planet grow and develop? Not in the way living creatures do. You can say a planet is not isolated from it's environment (nothing is isolated actually), so it will be shaped by the environment, it will change with time and it will have a development. Can this be called "growth" in the same sense bacteria or cats grow?
Maintenance and homeostasis. This is something Earth actually do. For example when the temperature rises, forests dissapear and deserts appear, which result in a rise of the light reflected and therefore in a descent of temperature. Earth is full of autoregulation strategies, and lots of them can only be carried out by the present life on the planet, like plants or bacteria. I think this is the main thing that tricks people into thinking the Earth could actually be alive. However, I'm confident that it can hardly be considered a living entity, at least, it can not adjust to the conventional definition of "alive".