木雪

The meaning of the name "木雪意" is not clear as it does not have a direct translation in English. Each character has its own meaning in Chinese:
木 (mù) - wood, tree 雪 (xuě) - snow 意 (yì) - meaning, intention
So, the name could possibly mean something like "wood snow intention" or it could be a unique and poetic name without a specific meaning.