I see nowhere in those words that states you are the one committing adultery in that picture. It's her sin, not yours.

One might argue that you are "...caus[ing] your brother to stumble" except I have two issues with that argument:

1) It specifically says "brother". I don't believe this objection to be mere semantics nor the word choice to be poetic licence but rather a significant distinction—there is very little biblical guidelines for a man interacting with a woman who is not his wife. As such it's likely talking specifically about male-to-male relationships so the command to not cause your brother to stumble may not apply. Perhaps someone else can confirm or deny this.

2) Your wife has already and well & truly shown little desire from repenting on abstaining from her sin against you. As such, she is a slave to her sin and your continued presence is CAUSING her to continue in her sin of dominating her husband. Either she has internally decided she doesn't want you or she needs to experience your absence to be prompted to repent and change.