Once you have chrooted into your system you can use the following snippet to reinstall needed XFCE packages (your profile lists XFCE, so thats what I am using)
DONATOR=https://gitlab.manjaro.org/profiles-and-settings/iso-profiles/-/raw/master/manjaro/xfce/Packages-Desktop; wget -qO- $DONATOR | sed '/^>/ d' | sed '/^#/ d' | sed '/^$/d' | awk '{ print $1 }' > /tmp/pkglist; sudo pacman -Syu --needed - < /tmp/pkglist