Is the statement "I say things that lead to separation" considered an acknowledgment of divorce, especially since it was uttered during a moment of whispered temptation and was not true, and I regretted it and was in a bad psychological state?

We ask Allah for your swift recovery. The divorce of one afflicted with obsessive thoughts does not occur unless he intended and purposed it in a state of tranquility and stability, because he is overwhelmed by his condition. Ibn Uthaymin said: "Indeed, the one afflicted with obsessive thoughts, his divorce does not occur even if he utters it with his tongue if it was not intentional... due to the saying of the Prophet, peace and blessings be upon him: 'There is no divorce in ighlaq (compulsion/closure of mind).'" Based on this, you are not obligated to divorce if you uttered it due to obsessive thoughts without intending to effectuate it with tranquility, and what you told your mother is not considered an affirmation of divorce. We advise you to turn away from obsessive thoughts and not pay attention to them.