What is the most polite way to decline offer to attend Bible Study?

Lily59, just my opinion, but I think your reply should reflect some of your real intentions. Not knowing you it is difficult to reply intelligently, but I will try.... If you are [not] a Christian and absolutely don't feel that you could be converted, then find another friend, Why?, because if she is active in her faith, and it sounds like it, she will continue to ask you to become involved as a Christian. This may become a little awkward for you both. If [and I say if] you have another agenda for this relationship, more than just friends for example, then there will be real problems down the road. So what I'm trying to say is , you will have to come to grips with your own feelings and progress in a truthful and honest way considering both your feelings. Hope I haven't rained on your parade, but you asked for a respectful and practical approach. Good Luck.

Just say to her that much as you enjoy her company, you don't want to raise false expectations that you are interested in this kind of thing. Tell her that you think it best to be honest with her and to tell her directly and simply that you do not want to attend such a group.

If she persists, you can move to the next level, and tell her that you'd rather eat your own liver than attend her bible class.

Same way one would decline an invitation to anything you have zero interest in, for example a rock concert "I appreciate the invite, but I simply wouldn't enjoy it". And then, as others suggested, offer an alternative get-together activity.

Maybe I'll join your for Bible study some other time but for now I'd rather meet one-on-one so we can keep getting to know each other better.

Just tell her you don't like Bible study meetings and how about a coffee instead.

Just go along. Sometimes when we think we have 'absolutely no interest' in something, its because we have no knowledge of something. What else will you be doing that evening? Spending time watching nonsense on TV?

Maybe you might meet some people there that will help improve your life.

Just tell her no thank you and see if she would be interested in other activities that are social as well such as hanging out with other woman who have differnt group meeting in the locality whear you are, such as sewing groups.

You could say..... Thank you, that's so sweet of you to offer, but I'm not Christian. I'd love to do something else sometime though.

Just say you don't think that's really for you and suggest an alternative. You don't have to share all of your interests to be friends, and if she's a decent person, she will understand that.

Women should not be dating other women.

Tell her your not interested.