Yes, an older woman can wear a veil. There is no age limit on who can wear a veil. The decision of whether or not to wear a veil is a personal one that the individual woman should make. The practice of veiling is a cultural and religious tradition that has been around for centuries. It is often seen as a sign of modesty and respect for God or other religious figures. It can also be seen as a way to protect women from unwanted attention.