Back from campus and with my books. There are a couple of different endings you could use. I won't write them all out, but if you really want me to, I can. Anyway, I assume that this is for a female, as indicated by your use of the feminine ending in your initial post.
There are two root words I would consider using: Germanicus and Teutonicus. You could also used Teutonus, which is normally only Teutoni as we only have surviving examples of the word in the plural. That does not mean that Tuetonus was not used, however. Also, if you ever read poetry, the poets sometimes have a habit of dropping syllables for the sake of meter, which can be a real pain in the ass as it happens most often with verbs in various tenses. That could also justify the drop in a syllable here for the sake of aural aesthetics.
So, as a term of endearment, may I suggest Teutonula, Teutonicula, Germanicula, or Germanula?
Some of the other endings that people have suggested are demonstrably incorrect as they are for other declensions.
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