The sentence is awkward either way.
The general rule is that either...or and neither...nor are pairs. You cannot write either...nor. Similarly, you cannot write neither...or.
A better phrasing might be "This matter impacts neither ... nor....
A little more prolix is the phrasing "This matter does not imact either ... or ..." The first phrasing, however, is clearer.
I hope this helps.
Student or Learner