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 starting point in a race is called the starting line. The end point of a race is called the finish line.
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.
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.