Chingándome comes from the verb chingar, which is a highly versatile and often vulgar slang term in Mexican Spanish. While it can mean to 'screw' or 'mess up' something, in this context, it refers to 'screwing around' or 'hooking up' with someone.
The artist sings, "Que ando chingándome a otra y solo pienso yo en ese culo" (I'm hooking up with another and I only think about that ass). This word is interesting because it's a very common, yet informal and multifaceted, part of everyday Mexican Spanish that learners will encounter in many songs and conversations, making it valuable to understand its various uses and connotations.
In "AY MUJER," Tito Double P paints a picture of a life filled with excess and conflicting emotions. The song's narrator is surrounded by the signs of success: he mentions having "putos diamantones" (big diamonds), "pacas de verdes" (stacks of money), and the ability to get whatever he wants. He describes a wild lifestyle of partying, getting "bien loco, bien grifo, bien pedo" (crazy, high, and drunk), but amidst all the chaos, he reveals a deep sense of longing for a specific woman.
Despite being with other women, he admits he can't stop thinking about her, confessing, "Me hice adicto a tu piel" (I became addicted to your skin). He's caught between his pride and his desire, asking her for "una última vez" (one last time) together to see if their connection is real. The song captures the feeling of missing someone so much that even a life of fame, money, and parties feels empty and lonely without them.