Jesus said, "her sins, which are many, are forgiven, for she loved much" (7:47). Was she forgiven because she loved, or did she love because she was forgiven?

These notes give Jesus's words in the order Luke gives them, and add nothing to them. He told Simon, "A certain lender had two debtors. The one owed five hundred denarii, and the other fifty. When they couldn’t pay, he forgave them both. Which of them therefore will love him most?" (7:41-42). "Simon answered, “He, I suppose, to whom he forgave the most.” He said to him, “You have judged correctly.”" (7:43). "Turning to the woman, he said to Simon, “Do you see this woman? I entered into your house, and you gave me no water for my feet, but she has wet my feet with her tears, and wiped them with the hair of her head. You gave me no kiss, but she, since the time I came in, has not ceased to kiss my feet. You didn’t anoint my head with oil, but she has anointed my feet with ointment. Therefore I tell you, her sins, which are many, are forgiven, for she loved much. But one to whom little is forgiven, loves little.”" (7:44-47). "He said to her, “Your sins are forgiven.”" (7:48). Those at the table said to themselves, "Who is this who even forgives sins?" (7:49), and "He said to the woman, “Your faith has saved you. Go in peace.”" (7:50). These notes say nothing more about whether her love came before her forgiveness or after it.