Me myself, I would never ever use that PSU as its a generic POS PSU sorry to say, but overall it will run your GPU with ease a 1050 Ti does not require any power cables and goes off of the motherboard itself to get the 75'watts required don't ever go off of what Nvidia says its just a safety thing they do, the TDP of the 1050 Ti is 75 watts it will pull no more than that ever. So as long as the whole entire system doesn't take up the rest of the power (Which it shouldn't) you should be fine, But I'd recommend to replace that PSU asap. Heres a tier list of power supplies, I'd recommend at least a tier 2.
http://www.tomshardware.com/forum/id-2547993/psu-tier-list.html
Another tip when it comes to PC building etc, Never cheap out on the PSU very bad decision. I understand you probably are using a prebuild but you can always upgrade that power supply. If your case doesn't allow it get a new case and move everything
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As you can see the Ez-cool PSU you have is under Tier 5: Tier Five
Avoid IMMEDIATELY. These units are highly unsafe to use. No such protections added, very thin gauge wiring used, false advertising and too much to list. Reference to a higher tiered unit for a better, money saving and a much safer unit. For your safety's sake, please don't order or pick one up for use in your system. These units are a potential fire hazard and could even kill you, let alone your system.