Is Heteronormativity As Bad As Homophobia?

Possibly, according to Meg Barker:

[H]eteronormativity is not just problematic for people who are located outside it. It is actually pretty bad for those inside it for many reasons as well. These have been particularly brought home to me in my work as a sexual and relationship therapist. Almost every seemingly heteronormative client who I've seen in this capacity has expressed an overwhelming desire to be 'normal' and often a desperate fear that they might not be, which has frequently made their life a misery. Normality is often privileged over everything else including having pleasurable sex, positive relationships, and open communication.