It depends on how "independent" is defined. A woman who is able to change her own oil and kill her own spiders is fine.
A woman who always wants things her way, and will nag and complain until she gets it, (and calls that "independence") is best passed by
"A woman who is able to change her own oil and kill her own spiders is fine."
I guess I fail, and so would my husband, if this the criteria.