Apple Tears

[Brownlie]

Well, Robert Frost does after apple picking, which this poem reminded me of. I don't think you need to necessarily be consistent with a rhyme scheme like this. You could, for instance, place strategic rhymes for emphasis. 

Apples, apples, oh how they make me cry. -- I don't like the way this line ends. You could easily say, I am afraid of apples on the trees (or something better than that) or you could go into a more dramatic soliloquizing by starting with apples apples, and then continuing with an emotionally distraught speaker. 
When I taste their sweet flesh, I thirst to die. -- Possibly the emotion here is too vague,  and the rhyme cry die needs justification ( Not saying I would necessarily do better. 
Their deep scarlet hue fills me with sorrow; -- Sorrow is too vague in my opinion.
I hope to see no apples tomorrow. -- There seems to be a  metrical hiccup between apples and tomorrow.
I carry a torch, but no need for sight, -- Seemingly necessary words are omitted here.
against apples, I continue my fight. 
From eating of apples, to smoldering trees,
I carry my flame through the winter breeze.
As I find now out, my war is in vain -- English is not working here.
"Too many trees!" I succumb to my pain.
If I cannot slay them, then I must go.
Now I say goodbye to all of my woe.
When the ripened apple falls from the tree,
I see it plunging off this cliff with me.
As down down I go, to the rocky shore,
Thank God I will think of apples no more.

I made some comments, I sort of like the idea of an apple phobia. I guess I think this poem needs a stylistic revision.