While Kroger Company has an official policy against discrimination based on sexual identity or gender presentation, I can tell you that in Portland, it is on paper.
I myself, and many gays, lesbians, and transgendered folk have suffered all kinds of discriminatory behaviour from staff and management at the local branch of Kroger -- Fred Meyer.
They talk a good game, but when it comes to meting out punishment, or reviewing misbehaviours, they simply suck.