To the OP:
My personal opinion is that your sample pictures are overdone in post processing. Don't get me wrong, I actually like your artistic style but I understand that it is not for everyone. The bride must have reviewed your previous work before signing the contract. If this has been your style all along, then the client shouldn't complaint. Perhaps it is the parents or their family members who don't share the same artistic taste. Then they bombard the bride with comments such as "Oh my god, you look so fake in the picture. I don't like it, it is too photoshopped!".
Take some time to sit down and discuss with your client to fully understand why aren't they 100% satisfied. Not only is this professional, it is also the right thing to do. Wedding pictures are for life. As a photographer, you already knew that right? Emphasize that you will do whatever it takes, even to the extend of re-editing all the pictures, at no extra cost, until they can go home smiling. With that kind of an attitude, your client will definitely give you a chance and will not hesitate in referring you to others. Wedding photography heavily relies on words of mouth advertising, you must protect your name at all cost.
Now, as far as the RAW files are concerned, my answer is "no way in hell". (You don't have to say those words though)
I am a computer engineer. If you have a problem with the software I supply, then tell me what's wrong and it is my duty to fix it. I would be happy to fix it again and again, until you are 100% satisfied. If you are still concerned, then I will provide additional licenses or support free of charge. In a way, my users are helping me in improving my own product, I owe it to them. But under no circumstances can a user come to me and say "Hey, I don't like this feature you included in the current version, can you give me the source code so I could, errr... make some adjustment to it?"
Not convinced? Try calling Microsoft and tell them that you aren't satisfied with Windows and ask for the source code, good luck!
My source code is as important as your RAW files. This is the work we produce and we don't share them with our clients. Unless your contract specifically allows the bride to keep a copy of the RAW files, it is perhaps the first time I hear such unusual request.
Based on your story and your sample pictures, maybe they wish to have their photos toned down a bit on the post processing. Here's an easy way to confirm:
- Choose 5 to 10 of your best shots and process from scratch.
- Make only subtle changes to the RAWs, like tweak the white balance and exposure.
- Focus on the bride's skin tone to look as natural as possible (as your eyes saw them in real life).
- That's it. Make medium sized prints of both versions (original airbrushed style vs. minimal edit style).
- Lay them on the table and ask which version does the bride prefer.
If we are correct to assume that your photos are over-processed, then the bride would pick the minimal edited prints as a preference. In this case, the answer is easy: Take a few days and redo all the work at no cost. It might suck as you won't be able to go watch The Avengers this weekend, but it's worth the trouble as long as your client is happy.
The reason to bring two versions of the prints is to acknowledge that you might have gone too far in post, without having them saying out loud "Hm... I know that you spend countless hours working on them... but we feel that they don't match our expectations. Hey, it's ok! We are willing to sit and watch the editing process." That would hurt the photographer's pride wouldn't it? Guess what, you now put them in a comfortable position to simply choose a preference. They don't have to say anything, just watch where the finger is pointing to.
(Oh... and I do shoot weddings occasionally. Mainly as a 2nd shooter free of charge for close friends. I do have a photographer side in me.)
Good luck!