That is a stressful situation indeed. 10 weeks is a hard time as they are more aware and are quite good at deciding which they prefer. You aren't doing anything wrong, your baby just knows what she wants! First of all, celebrate the times your baby has taken milk from the bottle...even the tiniest amount. You're moving it the right direction and it's just a slow process for some babies.
I would recommend you keep trying, once a day. Don't force it. If it isn't working that day, just try again the next day. You don't want your baby to develop a strong aversion to the bottle by having it be really unpleasant every time it's introduced. It's usually best to do it at a set time of the day so it becomes routine. Pick a time that is your baby's personal best and when they are most interested in learning a new skill - usually in the morning. And make sure your baby isn't too hungry. If she's very hungry, she won't be able to concentrate on learning. If very hungry, you can try the breast for a few minutes, and then try switching to the bottle.
And, if you haven't tried introducing the bottle yourself, I would highly recommend that too. It is not true that the lactating mom can't introduce it and sometimes she is most successful at doing so because she has the most invested.
Some babies never do take to a bottle but can be fed out of a cup, off a spoon or from a sippy cup, so those are last resort options. But, it sounds like she may take a bottle as she has already a few times.
Good luck!