The special right they want is for Women to be able to marry women.
I don't have that right so that becomes something special for the Lesbians.
Your argument is nonsensical. You have the right to marry a woman. That same right is all the lesbian women are asking to have.
Since same sex couples cannot marry it is clear that heterosexual couples have had what you consider "special rights" since time immemorial.
Any law that limits rights based on sex is undeniably discriminatory.