Looks like that has a regulator and level shifter, probably designed for 5V systems. Can you read the part number on the IC (the one on the lower part of the image)?
Would be hard to get it working without soldering, but if you can bypass the regulator and the level shifter, should just work.
Or - might not be easy without soldering - you could use uSD -> SD adapter, like in the docs: http://www.espruino.com/File+IO#wiring
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