Although it was not written about women, it is customary to sing it to honor the wife and it is a beautiful thing. It is also customary to sing to the Kallah at a wedding. So because it is customary it should be done with pride and with Kavona which makes a wife feel special and appreciated.
I also feel like I would rather not serve if it is too difficult for the men in the home to praise me. After all, there is a lot of hard work involved in preparing for Shabbos and getting to the point of all of us sitting down to the beautiful Shabbos table. So singing Aishel Chayil is a very simple and beautiful way to start off the Shabbos meal.