I am really not sure about the type of earring you are talking about but there is a shape called inverted teardrop. Maybe I can help you better if you upload any picture of the earrings.
The point at the end of a ray is called the endpoint. It is the specific location where the ray ends or terminates.
End point...
earring
point
You mean the jewelry?
The sharp end of a pencil is called the "point."
There is a lexical gap for 'ripping your earring off,' meaning there is no word to describe that specific thing.
The barbell earring that goes on the upper part of your cartilage is called an "industrial" piercing, but some people also call it a "scaffold" piercing.
The starting point in a race is called the starting line. The end point of a race is called the finish line.
As in a flesh tunnel ear gauge? What's the point of a non-gauged earring? No point. Just jewelry.
It can be a ray if it does not include the end point or a half line if it includes the end point.
A segment has two end points. If a line has one end point, then it must be called ray.