While room temperature affects the CPU temperature it is not the thing to worry about. What you need to worry about is the temperature of your components when your system is running.
You can use a program called speccy or something similar to monitor your temperatures:
https://www.piriform.com/speccy
If your PC is dust free, with good air flow and properly installed CPU cooler then you should be fine. However, I highly recommend that you continually monitor temperatures, especially when gaming.