Things were going well with my wife and I last month, however it was me making the effort to reach out. She responded well, but I do agree with you. At some point in time she needs to take the initiative. See? That's the thing. Your partnership won't be healthy if you are doing all the work. It's got to be equitable. You won't throw obstacles in her way, but you've got to insist that she pick up her end of the load.
So in the end whether you go or not the bible study thing is maybe not the most critical part. It is how you approach it. Being dim over the past month or six weeks has shown her a few things. If you go the the bible study thing, you will have to maintain your distance, even then, until she makes a serious effort.
