Do angels look Jewish?

In Judaism, Abraham is considered the exemplar (I mean, other than God, of course) of ḥesed—extreme kindness (to be discussed at greater length in a later post, I hope). The November 16, 2019 (Parashat Vayera), issue of Likutei Peshatim (a devar Torah and announcement newsletter distributed at Orthodox Jewish institutions in the greater Chicago area) preaches on Genesis 18:3: “‘And he [Abraham] said: My lords, if it please you that I find favor in your eyes, please do not pass from before your servant.’” Abraham had been sitting outside his tent waiting for wayfarers whom he could be hospitable to; the quoted verse is his invitation to three men who turn out to be angels.

Judaism teaches that hakhnasat oreḥim—welcoming strangers into our homes—is a form of ḥesed, and Abraham’s behavior here is the model we should follow. In expounding on this, Likutei Peshatim says, “When a Jewish person is visiting an unfamiliar community, we have the privilege and opportunity to greet him as a member of Hashem’s chosen children, and as a family member in our nation.” The question is whether Abrahamic people were visually distinguishable from others back in Abraham’s day. If so, did the angels look Abrahamic? If there was no visible difference between Jews and non-Jews, we would follow Abraham’s model by welcoming people without distinguishing between Jews and non-Jews. (Of course, if the angels looked Abrahamic, we’d still be following Judaism by welcoming non-Jews.)