Blew off is commonly used to describe someone who neglected, ignored, or disregarded someone or something. The antonyms for "blew off" could be attended, considered, heeded, listened to, followed through, respected, acknowledged, responded, acted upon, and fulfilled. To attend to something implies that you are giving it proper attention and taking it seriously. When you consider something, you are giving it careful thought and contemplation. Heeding to someone is to listen and follow through with their requests or recommendations. Acknowledging and respecting someone implies that you recognize their opinions or feelings. Responding and acting upon something means taking necessary actions to resolve a situation. Fulfilling means to deliver what is expected or promised. Using these antonyms instead of "blew off" will indicate that you care and value someone or something.