Acronyms sorted alphabetically in Index

Acronyms sorted alphabetically in Index

I am using glossaries package with the acronym option
\usepackage[acronym,toc,shortcuts]{glossaries}. When my Index is
generated, the acronyms are not listed alphabetically but rather as a
"Symbol" entry within the index (image below). I am writing a thesis and
have a separate list of Acronyms so this "Symbol" entry in the Index is
rather useless for me. Is there a way that the acronyms can be sorted
alphabetically in the Index just like the rest of the entries?
MWE:
\documentclass[11pt]{article}
\usepackage{makeidx}
\makeindex
\usepackage[acronym,toc,shortcuts]{glossaries}
\makeglossaries
\newacronym{cd}{CD}{compact disk}
\begin{document}
\noindent
First\index{first} use of \gls{cd}\\
subsequent\index{subsequent} use of \gls{cd}\index{\glsfirst{cd}}
\printglossaries
\printindex
\end{document}