The 1858 Wright edition accidentally dropped the your from the phrase “the name of your God”. The text has examples of both the shorter “the name of God” (three times) and the expanded form containing a possessive pronoun (seven times):
This variability argues that we should follow the earliest textual sources in determining the correct reading for “the name of (one’s) God”.
Summary: Maintain the original reading in 2 Nephi 6:4 (“the name of your God”); the text includes six other examples with the possessive pronoun before God.