Does the Qur’anic verse, "Do not grieve; indeed, Allah is with us," which you heard at a certain time in Ramadan while suffering from obsessive-compulsive disorder, have a special significance for you, or is it merely delusions?

The cure for obsessive whispers (waswas) is to disregard them and pay them no attention. What you heard does not necessarily have a specific meaning. However, you must seek help from Allah Almighty in repelling these whispers, for He, Glorified be He, helps those who seek His aid and rely upon Him.