Anestesia translates directly to "anesthesia". It's an interesting word choice in a song about heartbreak because it's not typically found in romantic lyrics.
In this song, Paty Cantú sings, "No he encontrado anestesia de tu amor" (I haven't found anesthesia for your love). She uses this medical term metaphorically to express her desperate search for something to numb the pain and emotional impact of a past love, highlighting the depth of her suffering and her desire to forget.
Paty Cantú's "Ayúdame A No Llorar" is a really intense look at trying to get over someone. It's not about being sad and missing them; it's about actively trying to unlove them. She sings, "Ya no pienso en ti, ya no hablo de ti" [I don't think about you anymore, I don't talk about you anymore], which shows she's trying to erase them from her mind. But it's a struggle, because she admits, "No encontrado anestesia de tu amor" [I haven't found anesthesia for your love].
What's really interesting is her strategy: she wants to hate this person to stop loving them. She even asks, "Si odiarte me ayuda a existir, Ayúdame a no llorar" [If hating you helps me exist, Help me not to cry]. It's a desperate plea to turn all that lingering affection into something that will help her move on, even if it's a negative emotion. She's saying, "No podemos ser amigos, No me lo pidas ya" [We can't be friends, Don't ask me anymore] because she knows being close will just make her love them again. It's a powerful and a bit heartbreaking song about the extreme measures someone might take to heal from a past love.