From https://www.basicmusictheory.com/d-sharp-major-key-signature

Warning: The D-sharp key is a theoretical major scale key.
This means:
> Its key signature would contain either double-sharps or double flats.
> It is rarely used in practice, because it is too complex to use.
> It is not on the Circle of fifths diagram, which contains the most commonly used keys.
> There is always an identical major scale that you can use in its place, which is on the Circle of 5ths.
> The Eb major scale sounds the same / contains the same note pitches, which are played in the same order (the scales are enharmonic), so it can be used as a direct replacement for the D-sharp major scale.

So a D# major chord would be D# F## A# . In any case, the Key of C minor contains three flats and the notes are:
C D Eb F G Ab Bb. You would never write it as C D D# F Ab Bb
Is it a big deal in the grand scheme of things — not really.

Of course there is a D#minor chord (or diminished chord) in the keys of E B and F#! It does get confusing if you take the theory to the nth degree!