RTX 3070 + 5600X, will my case be an issue?

[Souter7]

Looking for some advice on my case and whether it will overheat with my new build as its concerning me a bit after reading some comments.

My specs are:

CASE: NZXT H440
GPU: Palit RTX 3070
CPU: Ryzen 5 5600X (when it's released)
PSU: 750w Corsair Gold 80+
MOBO: B550 Tomahawk
RAM: Crucible Ballistix 3600MHz
SSD: WD NVMe 1TB

I want to keep my case from an old PC of mine which is the H440 but I've read that this may cause overheating issues with this setup, can anyone give me any advice on this please as I don't know much about PCs.

 

[Souter7]

that case is godawful for airflow. I'd really consider upgrading that.

This is what a few comments I've read have said also, do you think it would cause any issues? Thanks for the reply