The phrase "admire amorously" typically implies romantic or sexual attraction, and there are numerous synonyms to convey these sentiments. Some people might use the phrase "have a crush on" to denote a tender infatuation, while others might say "desire" or "lust after" to suggest passionate longing. "Worship" or "idolize" can also convey a sense of unwavering admiration, as can "adore" or "revere." Meanwhile, "enamored with" or "smitten by" underscore the emotional intensity of the attraction. Ultimately, the choice of synonym will depend on the specific context and nuances of the situation.