I would be spelled the same. Some names are left in the original form.
The Irish name Deirdre was spelled Derdriu in Old Irish.
In French, the name "Sierra" is spelled the same way as in English.
It is spelled Féilim in Irish.
It's already spelled in Irish!
Audrey is spelled Aidrí in Irish.
The name is spelled Máire in the Irish language.
In Irish it is variously spelled Seoighe, Seoige.
an Ghleanna
Linzi
It is spelled spaigití.
"Chicken" in Irish is spelled as "sicín."
If it is spelled in that way, yes it is an Irish name.