• Rename local branch.
  -> If in branch to rename: git branch -m new-name
  -> else (currently on a different one) : git branch -m old-name new-name
• Delete old-name on the remote branch & push new-name branch : git push origin :old-name new-name
• Reset remote for the new branch. Switch to branch "new-name" & git push origin -u new-name

Done

(on linux debian)

# install dependencies
sudo apt-get install sshfs 
sudo adduser <username> fuse

Now mount the remote folder :

mkdir ~/remoteserv    
sshfs -o idmap=user <username>@<ipaddress>:/remotepath ~/remoteserv

User vim locally on the mounted folder.