Is there any part of the human body that can be referred to as the Obdula Abrigada?

There is no part of the body that is normally called the Obdula Abrigada. However, I wonder if you might have misheard the name of this body part. There is a body part that is often called the medulla oblongata (it is sometimes just called the medulla). This sounds relatively similar to “obdula abrigada” so I think it is quite possible that you are thinking of the medulla oblongata.

The medulla oblongata is the part of the brain that is closest to the spinal cord. The medulla is a very important part of the brain. It is not involved in conscious thought, but it is vital for involuntary functions such as breathing, regulating blood pressure, and the digestion of food. Because it is so important to such vital body functions, any problems with the medulla oblongata can lead to very serious symptoms such as loss of sense of touch or even paralysis.

I believe, then, that you are asking about the medulla oblongata, a very important part of the brain.