The arabianArabian connection with Dr. Bashir is via the actor (Alexander Siddig a.k.a Siddig El Fadil). Being a genetically engineered genius would not fall in line with any arabicArabic stereoytpes. As for Sulu (not a Japanese, but an americanAmerican of japaneseJapanese descent), Chekov (born in Russia) etc. they are (from the pov of the original "western" audience) minorities. A white caucasian female would not be regarded as a part of a minority (in the US, that is), so I don't think name and appearance of Annika Hansen do have to same relevance.
Opinions aside, in-universe the character was not born on earth ("Tendara colony") so the question of (germanGerman) nationality does not arise.