Here's what I think. She's 14. Not old enough to go out with a boy on her own. She's 14 and she does need to learn how to interact with boys in a safe protected environment.
At the LDS church kids have to be a certain age to join in the youth activities. Even though they can do the actual youth activities they cannot attend the monthly dances until they are 14 (I think it's 14).
They must dress in church dress clothes, that means clothed in a manner that is respectful of their bodies and of each other. They do not wear sleeveless short dresses or tank tops and shorts. They dress like they are at church so they can remember this is a church activity.
They can come together, do some mild flirting...(not out of hand in any way), they are highly supervised, do not leave the main room except for restroom trips, they do not go anywhere they can't be supervised.
Even on the dance floor they are not allowed to even dance where they're touching anything but their hands. They have to leave about 6-8 inches between their stomachs/chests/legs etc....they are taught that touching in a closer manner is not allowed, they are taught their body's are a special thing and that they must act towards others with a high level of respect.
SO they learn to interact and have fun in a very restricted environment at the dances.
I'd like to suggest you think about some ways to foster this in your daughter. Teaching her how to handle herself is not a bad thing. Helping her to be confident and able to say no and mean it, to take actions if the need arises, to know what she does and does not want to happen, those are things she can learn by having special time with friends of the opposite gender or same gender if that child has that need.
At 14. IF IF IF the boy and girl were close I'd allow hand holding while watching TV. I might allow a kiss on the cheek if they are special to each other. I'd allow them to spend time together at MY house when I was home and only in the main rooms of the house. I'd allow them to do things at HIS home if I knew for a fact that his parents felt the same was I did about what was or was not allowed to go on. You don't want them to go to his house and be totally unsupervised or allowed to go hang out in the game room in the basement with no adults around at all. That's how my BFF got pregnant at 14. They had a poop table in the basement with a juke box and numerous other things to do. It was "the" teen hangout for just about the whole town. Her parents wouldn't ever come down the stairs, they'd just holler down that dinner was ready or to come upstairs. She said she always had time to get her clothes straightened up and presentable.
So, at 14 I'd allow supervised time together but there is no way I'd let them go by themselves to a movie, to the mall to hang out, to a friends house to hang out, no, not going to happen. They don't know all the cause and effect that an older person is going to know. They can't make decisions about sex, oral sex, and anything else that could be presented to them by a "boyfriend" so there's no way they'd be by themselves with anyone like that.
Once they turn 16 it's not a magic number where they're supposed to know how to do this, they need safe practice.
So think about it mom. Consider allowing her to have opposite gender friends over for movie time, game night, all sorts of things.