No, it is not considered weird for the woman to be older than the man in a relationship with a 5-year age difference. In modern society, age differences in relationships have become increasingly accepted and less stigmatized. Many couples, regardless of gender, have age gaps, and as long as both partners are consenting adults and are happy in the relationship, age should not be a significant factor.
It's important to remember that love, compatibility, and mutual respect are the essential elements of a successful relationship. Age is just one of many factors that can influence a relationship, but it doesn't determine the quality of the partnership.
Societal attitudes have evolved, and people are now more open-minded about different types of relationships, including those with age differences. As long as the relationship is based on genuine affection, communication, and trust, it is entirely normal and acceptable for the woman to be older than the man in a relationship with a 5-year age gap or any other age difference. The most important thing is that both partners are happy and feel fulfilled in the relationship.