The Tánaiste says the Government will not support a call for businesses to be allowed to legally discriminate against gay people.
Archbishop of Dublin, Diarmuid Martin, called for a legal "conscience clause" to be brought in after May's referendum, saying it will allow people to object to providing a service on religious grounds without breaking equality laws.
But the idea's been described as a "license to discriminate" and the Tanaiste have no intentions of letting that happen.
Joan Burton says the referendum can't be undermined by allowing some people to ignore it:
"The marriage equality referendum and the people who are gay and lesbian, who want to get involved in marriage to their same sex partners, it's actually a very strong vote of confidence in the institution of marriage."
Her comments come as a survey by Yes Equality shows 89 percent of under 35's support marriage equality.
David Quinn from the Iona Institute is calling for people to Vote No in May:
"There is a chance that the No side will win if the argument can be put convincingly to people."
This latest debate was sparked when a card shop in Louth refused to design wedding invitations for a gay couple.