Crossway is also calling for better sex education after the new morning-after pill was approved by European regulators.
Anyone requesting the pill, which is effective up to five days after sex, will be asked a number of questions in the pharmacy.
Kayleigh Butler, from Crossway Pregnancy Crisis Centre, a Christian organisation told Premier's News Hour young people need more decent sex education: "It's not just about how to put a condom on, or remember to take your pill.
"It's about forming relationships, and really getting good relationships with young people so they have someone to go to when they're in situations like this - or to help them not get in these situations in the first place."
Kayleigh Butler added: "Are these young girls going to get the support they need in a very difficult situation?
"They're going to be vulnerable young girls who are going to be needing support, and I think my issue would lie with - are they going to get the support that is necessary for them?"
She added that it was unlikely a young person would feel comfortable in a pharmacy asking for this pill: "I thought of this scenario in my head.
"Let's say there's a 14 year old girl, going to up to a pharmacist, let's say a middle aged man who's probably got kids of his own.
"Can I imagine this 14 year old girl standing there giving her sexual history, and the pharmacist talking in-depth to her about her sexual activity over the counter - would that actually happen?"
Tony Fraser from HRA Pharma which manufactures the drug, said that being questioned by a pharmacist before being given the pill is necessary: "The pharmacist has to make sure that it's appropriate, I mean it's a routine consultation and pharmacists have been well used to doing this over years, and pharmacists are very component health care professionals."
Listen to Premier's Hannah Tooley speak to Kayleigh Butler from Crossway Pregnancy Crisis Centre here: