pac man
sorry if i get peronal but it is the secondthreat today that i opened and see you quote non-existent halacha.
even the source you quote is not a p’sak that a woman may not hold office. if you want to interpret it that way, maybe you may, but only for yourself but not to quote as a halacha.
if you know of a torahdik authentic source that a woman may not hold office, especialy a gentile woman in a gentile country and coulture, then i invite you to quote the source.
if not, please dont quote halachos that do not exists.
although what you wish to do on a personal level you are invited to write here as a personal opinion.
so in my opinion, yes i would vote for a woman if i felt she was competent and capable.