Azucenas are a type of white lily, a flower often associated with purity and beauty. It's a wonderfully poetic word that you won't encounter in everyday conversation.
In the song, Luis Miguel uses it in a beautiful metaphor, singing "De tus ojos tiernos de azucenas" (Of your tender eyes of lilies). He compares his lover's eyes to these delicate flowers to express their innocence and captivating beauty, making this a truly romantic and unforgettable line.
Luis Miguel isn't just saying he wants someone in "Te Necesito"; he's saying his life literally depends on them. The song is a huge, dramatic list of reasons why he can't be without his love. He states plainly, "Yo no puedo vivir separado de ti" (I can't live separated from you), and then spends the rest of the song proving it with a series of intense comparisons.
He says he needs her "como el aire que respiro" (like the air I breathe) and "como el mar a su sal" (like the sea to its salt). These aren't just romantic ideas; they're things that are essential for life and nature. For him, this love is a fundamental part of existence. He believes they are a perfect match, calling her "la ideal" (the ideal one) and saying "somos tal para cual" (we are made for each other). Without her, he says, "Todo es vano y pasajero" (Everything is vain and fleeting). It's a powerful and absolute declaration of love.