Der Fuhrer.
Cos it soon will be
Schadenfreude. Because cats are jerks. 
How about Hündchenart? Katzenuberalles?
A classical (female) German cat name is Mieze (pron. MEE-tse).
Or, if you want to keep your options open, you can use Dachhase (literally: roof hare, pron. DUCH-huh-se) - an euphemism for ‘cat’ used in hungry years.
My cat was supposed to be named “Frau Schulze” (shool-tse), but when she arrived we decided she didn’t look like that, so “Frau Schulze” is still free if you want to use it.
I’ve also been partial to the name “Tussi” (TOOS-see) (airheaded girl who spends time looking pretty and has others to do the work and pick up the check), because it pretty much sums up what cats DO. And it’s easy to yell when the cat sets foot on the dinner table…
Schnitzel
Kuscheltier it is close to meaning cuddle pet. And it get’s shortened to Kusch a lot which is nice.
But I also agree with chowder.
How about Simone. That was one of the names girls could choose in German when I took it.
I like these names. I found them here.
Adalgisa - noble hostage
Amara - bitter, eternal, immortal, steadfast, beloved
Galiana - Supreme One
Gretchen - little pearl
Olinda - protector of property
Schmetterling - butterfly
Viveka - little woman, of the strong fortress (I really like this one)
And the ever popular
Zelda - gray warrior
Adolfess 
Fylfot…you could get her a 'lil armband 
Frau Blucher :eek:
Gretel
Is Valkyrie singular?
You can have my now-deceased cat’s name:
Morgen.
My cats were Morgen and Lila (morning in German and night in Hebrew)
Well, there you go; just call her Schönekleinebraunegetigertekatze. Nice and simple.
On second thought, that might be a tad cumbersome…
Sofie. Good German name, though people might think you’re a Heathcliff fan.
What a pretty kitty!
That’s my kitty’s name!
Der Furryer?
What?
Heidi
Lorelei
Brunhilde
Erika
Giselle
Liese
Wanda
Ilse
Marlene
Schmetterling (butterfly)
Ada
Greta
Selma
Lots to choose from…although most of the meanings seem to have “battle maiden” in there somewhere.
Someone will have to translate it into German, but I once had a roommate who’d named his cat the German phrase for “tail wiggler.”
Helga