I don't necessarily have a solution, but maybe some words of encouragement.
It seems to me that some babies are just more prone or able to take a bottle. My three boys were exclusively breastfed, but I tried to get them to take a bottle for babysitters, or other necessary occasions. My first did great, second did not and probably only had around 5 bottles his entire first year, and my third has had only 2 bottles (he's only 12 weeks), but he takes one easily. That being said, I think if we had worked at getting him used to it, my second child would have eventually taken the bottle well. It just wasn't worth the effort for me.
Perhaps in a few weeks she will take it better. I tried my littlest one's first bottle around 7 or 8 weeks. However, continuing to try may help her learn to take it, just as when you start feeding solids, it usually takes about a week or two (at least it did for mine) of daily attempts until they really get the idea of how to eat off a spoon.
I think at five weeks, it's possible she may still be building her latching on and sucking skills. So, if the bottle suggested by someone else doesn't work, or you don't want to keep putting out money on different types of bottles, I think continuing to try a bottle once a day or more will get her used to it.
Another thought is that if you are trying the bottle when she is ready to eat and very hungry, maybe she gets frustrated trying to learn this new skill. Maybe if you stopped halfway through breastfeeding to try the bottle she would be more relaxed and able to try it.