anyone else think Zelena should've chosen a different name when she was akting undercover as a midwife before her cover was blown?

i mean it seemed kinda careless to me that she didnt bother to change her name so she wouldnt be so easily detected when everyone finds out the truth. To me, if she changed her name, everyone else would be looking for someone else named Zelena and not know it was her. no i'm not saying i want her to succeed atau anything. i'm just saying that it might've been a smarter pindah on her part.