Any (the) less = to a smaller degree. She is "not at all" happy for being on her own.
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AnonymousShe is "not at all" happy for being on her own.Actually, it means almost the exact opposite of this. It means that she was no less happy being on her own than she was (happy ) in company. In other words, being on her own didn't make her unhappy. The implication may even be that she preferred it.