Many years ago, (40+,) we were stationed with the military in what was then West Germany. I was given a 16 week old black and tan dachshund puppy. She was registered with a German dachshund club as a "rauhaar" (wire hair) and had been tattooed with a registration number in her ear. Both of her parents were wire hair dachshunds. She never developed the wire hair, and looked like a smooth hair. Her fur was a bit more coarse to the touch than a smooth hair, but you could only tell by petting her and then petting a smooth hair dachshund. I adored her and to this day, I miss her terribly. My theory on this is that she was a genetic throw back to the original smooth hair dachshund.
Just love her and she will be you best friend, your baby, and a total delight. She is absolutely precious in her photos.