Since the mother was unwed, not so, especially according to Deuteronomy 23:2.
I’m talking about present Jewish law, for which marital status of the mother is not particularly relevant. Jewish law has diverged in quite a number of ways from what says in the Torah.
http://en.wikipedia.org/wiki/Who_is_a_Jew%3F#Jewish_by_birth
The Law has not changed.
Deuteronomy 23:2 does not refer to mere illegitimacy, it refers to what is called a “mamzer.”
Again, a mamzer is not a mere bastard, but rather a product of a married woman’s adultery or incest.
Christians frequently think this because the English translation of “mamzer” is incorrectly translated “bastard.”
http://en.wikipedia.org/wiki/Mamzer