AWS S3 Gitpull from Bitbucket and CodePipeline
I think you can replace "master" in s3://git-to-codepipeline-us-east-1/v1.0/GitPullS3.zip with your branch. And using your new GitPullS3.zip in your Lambda function instead of the original one.
CodePipeline now has direct Bitbucket cloud support :)
I think you will need to replace the string "master" in lambda_function.py file in the zip found at s3://git-to-codepipeline-us-east-1/v1.0/GitPullS3.zip (use correct bucket based on the region you are working on) , and create a new zip and upload it to S3. And, then use this new S3 file in your GitPull lambda function (you can update the CloudFormation stack to use your new S3 file in the GitPull Lambda function).