Rejection if you mean by Women, then No. In fact everybody wanted him. Ladies desired him.
And otherwise also no one rejected him. He was chosen by Shri Hari for Gita updesh.
- Draupadi married him even when he was in guise of a Brahmin and she was his most loved Wife.
2. Naga Princess Uloopi desired him so much that she abducted him while He was taking bath in Ganga and even said she will end her life he don't accept her.
3. Arjuna himself asked for Hand of Princess of Manipur Chitrangada and her father happily gave him so in return of her being putrika.
4. Arjuna was struck by desire as soon as he saw Subhadra and Shri Krishna himself asked him to abduct his sister. And even Subhadra was happy to get husband like him.
5. As per unabridged versions the apsara of heaven Urvashi Desired Arjuna and it was Arjuna who rejected her advances and was cursed in return which was converted in boon by Indra.
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