Our baby is seven weeks and will grow out of her bassinet soon. We have a cot for her, but can only get it into our bedroom alongside our curtains. The curtains are floor to ceiling and have no cords. I don't feel ready to move her to the nursery yet and want to keep her in our room for the recommended six to twelve months. Is there a suffocation risk around the placement of cots near curtains? I could see an issue in the future with her using them to climb out of the cot.

Red Nose does advise against placing a cot near blinds or cords due to risk of strangulation. Once baby is able to move around cot & pull herself up, there may be a risk of her pulling curtains & covering her face.
Keep baby’s cot away from hanging cords such as blinds, curtains, or electrical appliances as they could get caught around baby’s neck.
https://rednose.org.au/article/what-is-a-safe-sleeping-environment

As far as room sharing is concerned, Red Nose has the following information.
Parents are not expected to observe baby constantly. If baby is sleeping in a separate room check baby regularly to ensure that the baby remains on the back and the head and face remain uncovered
https://rednose.org.au/article/roomsharing