Question about date of appointment

Can getting an appointment date later than my planned date of arrival in China (as stated on my application) be a setback?
I did plan on arriving China on the 17th of aug, but i could not get appointment for next week so i chose the 20th of Aug. I plan on rescheduling my flight and hotel bookings to a later date to match the new situation. Do you think these old dates on my application will be of any adverse effect? Does everyone have access to the Rush Service? I am a Nigerian who lives in Kyiv