First of all, this sentence achieves a harmonious unity in artistic conception through the description of natural scenery and the expression of emotions. The trees are green and the branches are red, which depicts the scene of spring, while the lovesickness of talented people and beautiful women expresses the author's mood. The combination of the two creates a fresh and romantic atmosphere, which is in line with the typical expression of poetry's feelings and artistic conception.
Secondly, the expression of this sentence also conforms to the law of poetry writing. It adopts the basic skills of poetry, such as flat and even antithesis and rhyme, and better expresses the author's feelings and thoughts through the use of language. So this sentence can be regarded as a poem.