He attempts to make things right with Rizzo, but his wording offends her and she tells him it was someone else (although it appears that she says it more out of bitterness than truth).
He attempts to make things right with Rizzo, offering to marry her as was the custom at the time in this situation. However, the way he phrases it offends her and she tells him it was someone else (although it appears that she says it more out of bitterness than truth).