Hard to answer with the info provided. But ...
It depends on what PSU youre talking about. A good quality made 450W PSU will probably be fine for that setup.
A cheaper or offbrand PSU may have issues, possibly even resulting in permanant damage (worst case scenario)
If you look at the side of the PSU there should be a sticker on the side.
It should tell you the key info you need such as:
Name, Model, Rated Wattage AND the biggest thing, the amps on the 12V rail.
Ive looked at the PSU listed in your system spec, Foxin 450W , and found little info on it. But from what I can gather, I would highly suggest you just start looking in the 550W range for a Seasonic, Corsair, or Antec.
I would say for any single GPU system, 550-650 is really a sweet spot for single GPU sysytems.
Mainly, becasue it supplies plenty of power to all components, allows room for overclocking, and allows you to upgrade to high end GPU without worring about power in the future. Plus, depending on the type, it may be more effecient too saving you money over time, even though its technically more powerful than your current one.
In a nutshell, upgrading is probablly for the best. A good quality 450 will do, sure, but since you need to upgrade anyway look to the 550-650 watters. This allows headroom for future upgrades. A 550W would be my suggestion from one of the brand listed.