a mature human egg is called an ova
An unfertilized egg is called an oocyte. That is the proper term for an unfertilized egg from any creature. Chicken eggs do not need to be categorized this way as consumers would not need to know that chicken eggs can be purchased fertilized. They would assume the eggs were unfertilized. A fertilized egg is called a Zygote.
it is a fruit
Hen
Well Then it's probably dead. Or not matured yet.
They are called Jacks.
Sow
No, if you are talking about the clear fluid, its called the white, and its more like embriotic fluid, to the yolk which would have been a chick. If the egg was fertilized the yolk would have matured and the chick would have lived off the fluid until it was ready to hatch.
Before we discuss where a mature egg is released to, perhaps you should state which species you are discussing, since lots of species have eggs, and they do not all get released in the same way.
Mare
The egg matures in the ovaries of a female organism. In humans and many other mammals, this process occurs within the ovarian follicles, where the egg, or oocyte, develops and undergoes maturation. Once matured, the egg is released during ovulation and can be fertilized if sperm are present. In birds and reptiles, the egg continues to develop in the reproductive tract before being laid.
The white part of an egg is called the (Egg white). It's also called albumen.
A fertilized egg is called a zygote.