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 Hi. 

 I cannot see what is 'non-encyclopedic' by calling someone a Greek-American (or Italian-American, Australian-American etc.). If it's who they are, then why not put it? It doesn't seem a 'strong-enough-' reason to me, sorry. 

 I didn't realise that her mother is English (I thought she is American), in which case to call her American would be 100% wrong! In this case, she is an English-Greek (or an American-English-Greek, but I would presume that people would prefer to avoid this usage due to complications and confusions).  

 Thirdly, why isn't there a need to repeat it twice? The opening paragraph is a little introduction to who she is, so it should be included. 

 To settle it, I would be happy for it to be written that she is "an American-born English-Greek actress", or an "English-Greek actress in the USA" (although the latter doesn't really 'say much', does it?). 

 Thanks. 

 Leon.