"Doxie" is an abbreviated name for a dachshund, which is a short-legged, long-bodied dog that is also affectionately referred to as a "wiener dog" due to its shape. Dachshunds belong to the hound family.
There are three types of dachshunds: long-haired, short-haired and wire-haired. The name "dachshund" is of German origin and means "badger dog." Because dachshund is a German word, the dog also has nicknames in that language. A dachshund is often referred to as a "dackel" or "teckel" in much the same way as "doxie" is used as an abbreviated breed distinction in English. The short-haired dachshund is most common in the U.S., while the wire-haired dachshund is more prevalent in Germany.