Complex sentence: Cuddling has become a profitable business worldwide for many "professional cuddlers", who promote their business as a paid, non-sexual service, aimed at those missing the touch and connection of another person.
Split into simpler sentences: Cuddling has become a profitable business worldwide for the many "professional cuddlers" who offer their cuddling services for a fee. Professional cuddlers promote their business as non-sexual and offer it those who are missing the touch and connection of another person.