I have a hemorrhoid from coughing so bad it hurts and looks pink will it go away and how long? it even hurts it when i cough

Couple of days: Sounds just inflamed. Would just treat it conservatively. Sitz baths, stool softeners and over the counter anesthetic creams. In rare cases it may be a thrombosed (clotted) hemorrhoid. If so, these will last longer and can be incredibly painful and my require evacuation of the clot

Treat cough: Chronic coughing is a common source of hemorrhoids as it increases intra-abdominal pressure;similar to straining at hard stools. Treat your cough and they should go away.