There are 2 NPC sororities and 1 local at UTEP that partiticpate in fall formal recruitment. I wouldn't call it especially competative. Its certainly not UT-Austin. Chapter total is 45 and I believe that all three sororites had spaces for new members in the spring.
For more information contact the UTEP greek life office ..
http://studentaffairs.utep.edu/Default.aspx?tabid=14860