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OTOH, in a DM's opinion it could be thought as a cultural issue, therefore a human raised by Dwarves might qualify.
I have always restricted racial god's clerics to the specific race, but I admit I never liked the restriction too much, and I wish in the future to remove the entire concept of racial deities in a new campaign (so that Moradin would be god of mountains, incidentally creator of the dwarves, but nothing exclusive).
edit: I clarify, per the rules, anybody can worship any god, but only member of a specific race can become a cleric of a racial deity