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Bloom Tender can't produce colorless mana, even if you control a colorless permanent.

Bloom Tender won't produce more than one mana of any particular color. At most, it will produce {W}{U}{B}{R}{G}.

For each color (white, blue, black, red, and green), check to see if you control a permanent of that color. You can count the same permanent for multiple colors. For example, if you control a green enchantment and a white-black creature, Bloom Tender's ability produces {W}{B}{G}.

Lands are normally colorless permanents, even if they tap for mana of a certain color.

The colors are white, blue, black, red, and green. Colorless is not a color.