Your concern about cooking the laptop is understandable, but the danger is actually the opposite. Under spec power leads to slower charging or light performance throttling, not damage. The electronics on both sides are built to refuse unsafe requests.
Give the charger a little breathing room and you will be fine. Warm to hot is normal during fast charge. Super common. Too hot to hold, a burning smell, or repeated dropouts mean stop using it and get it checked. don't bury it under bedding or sandwich it behind a couch.