Hi Mathieu,
There isn’t much to go on in terms of whether she is interested in you or not.
You felt that you both had chemistry when you were matched up in a team.
However, that chemistry may have been purely due to the both of you being in the same team and having to work well together in order to accomplish the task.
Besides that one occurrence of chemistry, there are no further examples of body language cues from her that may indicate romantic interest.
Again, there isn’t much to go on here Mathieu.
However, this doesn’t mean that you would be foolish in thinking that she might be interested.
Yes, you only see each other a few hours a week and have only interacted once for a half hour, but that doesn’t mean that she wouldn’t be open to going out with you.
It may be best to go about asking her out outside of class.
This way, there would be no classmates around making you feel even more anxious and you would also avoid putting her in a situation where she may not feel comfortable having to respond to your question while being surrounded by classmates.
Try to catch her outside either before or after the class.
Just keep the words simple.
Tell her that she is pretty and you would like to take her out and get to know her better.
That is really it.
If she likes you or is open to the possibility of liking you, she will give you her number.
Though it would be your first time asking someone out directly, it is really doable.
The key is to just keep it simple.