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Try going through all her lines of dialog and raise her respect, you can buy her a bouquet of flowers from tenten and gift it to her in the evening in her room to raise her respect faster

You need to save hinata in the first 2 nights while she's captured, to do so you need Madame's help, you need to prove yourself by showing your massaging skills to her

Try to convince hinata to let you massage her in the living room at night, after you massage her you can buy a book for massaging from tenten, then you go to your room during the day and read the book, then you'll get past Madame.