Since the response is due in september and only a five day reply window, sure, you can wait.
But I would suggest you use the time to get prepared to submit a new application. As noted above, it is possible that there is not actually an appeal in process, but only your request for an appeal. They may be required to determine whether or not an appeal is possible.
And as suggested above, IRCC's response could simply be limited to stating "this was an inland application and appeals are not allowed, so the request for appeal should be refused."
If that's the case, sure, you will have five days to respond, but unless your lawyer (that you don't have) has some magical procedural trick, your response will probably not make any difference and you could/should just proceed to submitting a new app.
Note, you haven't mentioend why you were deported, you will need to determine whether that deportation makes you inadmissible and if any other procedural / substantive requirements apply. (For example, you'd have to pay govt back for any costs incurred like your flight, I think)