A cell or organism that contains foreign DNA inserted into its own genetic material is called a transgenic organism.

Here's a breakdown of the terms:

* Transgenic: This term describes an organism whose genome has been altered by the introduction of genetic material from another organism.

* Foreign DNA: This refers to the DNA that was introduced from a different organism.

* Genetic material: This refers to the organism's own DNA, which is contained in its chromosomes.

The process of creating a transgenic organism is called genetic engineering. This technique is used in various fields, including agriculture, medicine, and research.