In order to install shutter you need to install the Nux Dextop Repo. We will start with importing the official GPG key of Nux Dextop repository.
rpm --import http://li.nux.ro/download/nux/RPM-GPG-KEY-nux.ro
Next install the Nux Dextop Repo.
sudo rpm -Uvh http://li.nux.ro/download/nux/dextop/el7/x86_64/nux-dextop-release-0-5.el7.nux.noarch.rpm
Now verify that Nux Dextop repository is successfully installed.
yum repolist
We can now list all the packages available from the Nux Dextop repo.
yum --disablerepo="*" --enablerepo="nux-dextop" list available | more
So now we can install Shutter like any other package using yum.
sudo yum install shutter