Imported raster automatically gets a geo co-ordiante system

I am trying to import a raster and re-georeference it however when I import it into arcmap it already seems to latch on to a geographic coordinate system and hence I cannot correctly geo-ref it. This happened after the my first attempt at georeferencing, where i mis-clicked something and the raster got skewed ie. it got only partially geo-referenced.

Now even if I remove the raster and try to re-import it, it takes on the (geographic co-ordinate sysmtem)GCS of the data frame.

Any suggestions??