Since she has basically announced that she only wants women as tenants, "a shared work space for women-owned ventures.",  Strgar would appear to be in violation of the Oregon statutes prohibiting discrimination based on gender.  Who wants to file the first complaint with BOLI?  The last one involving rejection of a couple of gay women and a cake resulted in a $135,000 award.  "BOLI:  Filing a complaint usually begins by filling out a complaint Questionnaire and returning it to the Portland office. The Questionnaire is available online" 

From that Award:  

"Within Oregon’s public accommodations law is the basic principle of human decency that every person, regardless of their sexual orientation, has the freedom to fully participate in society."