Is the inability of the questioner to prevent her sister from wearing immodest clothing and perfumes, watching programs with unveiled women, and leaving without permission while living with her, considered a form of cuckoldry (dayouthiyah), especially since the older sister refuses advice?

Hating disobedience, fulfilling the right to advise, enjoining good, and forbidding evil prevent effeminacy [dayathah]. Tight clothes that describe the body and exposed feet are flaws in the hijab (definition). As for the face and hands, there is a difference of opinion concerning them. A woman going out perfumed has details. Your duty towards your sister is to advise her and call her to goodness with wisdom and beautiful admonition, for "If Allah guides one man through you, it is better for you than red camels," and "Whoever guides to good is like the one who does it in reward."