A shortsword will be a problem. With some luck, you would get a daerdic shortsword from Daedra Lords but your success isn't granted.
If you can use long blades then there is an unenchanted Daedric Dai Katana ready for you. Travel to Molag Mar and take a way around Helan Ancestral Tomb to Maesa Shammus Egg Mine. Near the queen inside the mine is a dead adventurer. Check him.
Have the Dai Katana enchanted by an enchanter. You will need as best soul as possible (that means a grand sould with a Golden Saint or Ascended Sleeper or the Azura Star with Vivec
) and mountains of money. I'm afraid that the 44 000 gold will be far from enough
Another possibility is enchanting it yourself but you will need very high Enchant skill and very high INT and LUC.