No question is stupid round here only not asking if you have one.
One of two things I suspect.
Either one or both of the exhaust manifold gasket has failed. At this age they were made from a composite material which looks like a thick tougher cornflake box cardboard (they are now made from several thin layers of metal). When the manifold warms up it expands and seals the gap where the exhaust gasses escape silencing the noise. Only way to cure long term is to replace the gasket(s) with a new metal one.
The second option would be a cam follower, these fill with oil when the engine is running and automatically reduces the gap between the cam lobe and it's corresponding valve optimising the opening and closing point of the valve and reducing the noise it makes. Some times the follower does not fill with oil properly and the gap is bigger than it should be making it noisy. When the oil eventually fills it quietens down. The poor filling can be due to failure to change the oil regularly so an oil change (or two) in short succession can help to cure this otherwise it needs to be replaced or cleaned and re-primed.
Neither are normally a serious hazard to the functioning or longevity of the engine, more of a nuisance. Sorting them is not cheap if entrusted to a garage but can be done yourself if you are reasonably competent but probably best done if sorting something else which requires work on the top half of the engine, which is more urgent.
Which side of the engine is it coming from and would you describe it as a sharp metallic noise like big ball bearings banging together or a deeper mechanical sound coming from within the engine?