To copy the folder over:
$ git checkout work
Switched to branch 'work'
$ git checkout master -- utils
$ git add utils
$ git commit -m "Adding 'utils' directory from 'master' branch."
[work 9fcd968] Adding 'utils' directory from 'master' branch.
1 file changed, 0 insertions(+), 0 deletions(-)
create mode 100644 utils/file
If you want to delete it on master after that:
$ git checkout master
Switched to branch 'master'
$ git rm -r utils
rm 'utils/file'
$ git commit -m "Removing 'utils' directory."
[master c786f95] Removing 'utils' directory.
1 file changed, 0 insertions(+), 0 deletions(-)
delete mode 100644 utils/file
Then you can just git push as necessary. Git’s output in your project may be different; I just made a simple test repo here with only one file in the utils directory.