Answer:
She worries what they will think about her and her family.
In the excerpt, Alvarez places emphasis on the differences of names, culture, family structures and types of relationships existing between her friends' family and her family, which demonstrates her concern about her friends' opinions about her family. Furthermore, she herself defines the situation as “a further trial” since her relatives seem to be more complicated than her friends' relatives (her friends rarely had more than a “Mom and Dad” to introduce). Hope this helps :))