Humans are completely unsuitable as thermometers. For one person, 32°C is hot, for another, 40°C. The difference between the perceived temperature of two people can easily be 10-15°C, sometimes even more. Different surface textures, coatings, and materials alone can cause perceived differences of 40°C or more.
If you can place your hand on it for a few seconds, it should be 40-45°C, probably less, which can be completely normal depending on the ambient temperature. At an ambient temperature of 28-35°C, this would actually be an extremely good reading.
And the ambient temperature is extremely important, as it directly influences the device temperature.
It's also important to remember that conventional amplifiers for the past 50 years have operated at temperatures above 45°C, often even above 50°C inside and on the heatsinks, often for 30 years at a room temperature of around 20°C. If this wasn't a problem before, why should it suddenly be one now?