 Fiyero is confused about what he has just seen and what he is doing , but he is caught up in Elphaba 's passion . She begins to fall in love with him and they share a moment before he has to leave . Elphaba reminds herself that it 's pointless to wish for something to happen between them ( " I 'm Not that Girl " ) . Madame Morrible comes and tells her that the Wizard has asked to meet her . Nessarose and Glinda come to see her off , and Fiyero meets her too . Galinda is saddened by Fiyero 's emotional distance from her , and tries to win his respect by changing her name to " Glinda " , in solidarity with Dr. Dillamond , who could not pronounce the first syllable of her name . But Fiyero barely notices , saying goodbye to Elphaba , and it is suggested that her feelings for him are mutual . Elphaba invites Glinda to the Emerald City with her ( " One Short Day " ) . 
