Government has deemed her a 'foreign media agent'
HRC, GLAAD among letter signatories
Calls to embassy phone in Moscow went unanswered on Saturday
State Department officials on Monday met with WNBA star's teammates
Consular visit took place on May 19
She will inevitably be labeled a hostage
Out WNBA star detained in Moscow in February
Phoenix Mercury center detained in Russia in February
Maria Alyokhina fled Russia disguised as a food delivery driver
WNBA star taken into custody at Moscow airport in February
