You could look at it as anti trans.
Beverly found out her "chick had a d___," and said no.
Same principle more or less.
No, not really. Why is it anti-anything for Beverly not to want to sleep with another woman? To not be attracted to a specific group is not being "anti-" that group. Like I said, she was as nice as she could be.
And you could even remove the gender angle completely. Maybe Beverly's just not comfortable with the idea of her lover constantly switching bodies. (Remember, this is the first time anyone ever found out about the Trill doing that.) And that's also understandable. Dating a joined Trill would always run that risk. Is it prejudicial not to be into that, as well? Hardly.
It's also interesting that Odan's relationship with Beverly could not continue anyway, since it's against Trill law to do so. Although Odan (regardless of host) may be famous enough in Trill society to get around such restrictions.
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