Puppies are wonderful! Treasure all these moments, they turn into dogs so fast (not that dogs are bad, but pups are SO cute!)
I've been breeding for 13 years, so I will pass on some general info that I've told my puppy owners, as well as some specific information based on your post.
First of all, rule of thumb is that a pooch can "hold it" for at least as many hours as their age in months (although after 6 months they can go 8 hours or longer for work & sleep as needed). During the day, a dog is more likely to be sleeping lightly & therefore need to go more often as opposed to at night, when they will enter a deeper sleep because the lights are off & the daytime activities are ceased that would alert them (mailman coming to the door, cars passing, kids outside playing, etc.)
Based on age & size (Border Collies are a medium breed) she should'nt have any physical problems holding it at night. Assuming you haven't had any problems with accidents during the day, I will rule out a UTI as well.
Most pups of this age can have unrestricted access to water without problems, but let's just cut back the water @ 2 hours before bedtime, just in case, until things are established.
So, to get pooch to sleep @ 10pm & not wake up until morning, we need to take care of a few things. #1 - she needs to go outside before bedtime. So make sure the water is pulled @ 8pm, last potty call is at 10pm, & then bed.
#2 - she needs to be tired!! Every dog is an individual, and every breed has general traits. Border Collies are a herding breed & need a job. Some of them don't get tired enough by just going for a walk/jog during the day. Do games with her, make her think while she moves (playing fetch, mixed with some basic obedience or teaching tricks). As Cesar Milan says - A tired dog is a happy dog is a good dog.
Now, you mention that you feed her in the morning. Only in the morning? I would suggest at least 2 meals a day. approximately 11-12 hours apart (7am & 6pm). If she is only fed once, she is probably getting hungry before breakfast time & might be a reason she is waking you up. Also, dogs are prone to more digestive issues when fed one large meal, as opposed to two or 3 feedings.
Where does your pooch sleep? Whether she sleeps in bed with you, on a rug on your bedroom floor or in a crate in the living room - none of those are necessarily "bad" or "good". However, if she is crying & waking you & sleeps in the living room, it might help to bring her into your bedroom for a week to see if she is just getting lonely, & will then sleep through the night. If she is already in your bed & waking up, think of what might be triggering her to wake. Just like people, unless dogs drink so much that their bladder can't hold it, they won't wake up just to potty in the middle of the night.
Since you indicate that she does not sleep in a crate, I'm guessing she gets up & comes to your side of the bed & noses/whines to wake you up. I'm also assuming you always get up to let her out. What happens if you don't? Does she have an accident? Can you crate her @ night & see what happens? (if she is not crate trained, this can cause other issues to deal with as she adjusts).
If you don't think she will have an accident, try telling her to go back to sleep for a couple nights & see what happens. It could just be that she has been on a schedule of going out in the middle of the night, because she always has!
Now, if she would have an accident if you didn't let her out, & if you are home during the day & the reasons she doesn't have accidents is because you are just able to let her out more frequently than someone who worked all day, you need to consider that there is a UTI forming. A simple urine sample to the vet can let you know. I would personally run one over regardless, to know for sure if you are dealing with a training/behavioral issue or a health issue. I did have one pup that was hyper-sensitive to the bacteria, & even though his sample never indicated an actual infection, the tiny bit it was elevated we treated for JIC, & problem resolved in 2 days of starting antibiotics (always finish the entire course!!).
So, to recap -
1. have a urine sample analyzed for possible UTI (if she was spayed somewhat recently, this is a possibility).
2. Make sure she is good & tired before bed, & freshly pottied.
3. pull the water 2 hours before bedtime
4. make sure she is eating at least 2x a day.
5. test -not- letting her out for a couple days (there may be an accident from this once, but hopefully not every time!)
6. if #1 is negative, & #2-5 produce no improvement after 1-2 weeks, I suggest you schedule a follow-up visit with your vet to make sure that there is not a physical reason she cannot hold it through the night (either congential or perhaps as a result of the spay surgery, which can cause incontinence-type issues in some bitches)
Best of luck!