The correct option is D Lacy will not be able to provide for Rose.
"A verier unthrift lives not in the world/ Than is my cousin"- this statement given by the Earl of Lincoln implies that his nephew, Lacey, is the most extravagant fellow on earth and goes on to give examples of his spendthrift ways. This implies that Lacey will not be able to provide for Rose. Only option E befits this context. So, E is the answer.