Although the wife should listen to the husband and make her best to please him, it is not a Mitzvah at all, and there are no DeOraytah obligations on the wife toward her husband (Rambam Ishut 22-24). The husband has no halachic control over his wife, besides a list of certain Melachot but those are DeRabanan monetary obligation, and she's free to exempt herself from all of them by claiming "איני ניזונת ואיני עושה". (I hope this point is agreed on לכו"ע).
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Also raising kids is not a Mitzvah at all (for women at least), and she can not get away by "being engaged in another Mitzvah".The Mitzvah of honoring parents is one of the MOST stringent DeOraytahs.
THe Gemmorah in Kiddushin (30b) brings Safra (Vayikra 19,3) explaining the Ptur of married women from this Mitzvah by simply mentioning that "רשות אחרים עליה".:
""איש"-- אין לי אלא איש. אשה מנין? תלמוד לומר "תיראו"-- הרי כאן שנים. אם כן למה נאמר "איש"? אלא שהאיש סיפוקו בידו והאשה אין ספוקה בידה מפני שיש רשות אחרים עליה.
This opinion is indisputable and not discussed by the Gemmorah.
I am stumped, what רשות does the husband have over his wife, to exempt her from such an important Mitzvah as honoring and respecting her parents?
A bonus question: why "אחרים" and not "בעל" and who are the "others"?