If you can get the specs for the 12V rails from the label,that would help. And, if there's any sort of "Max power of XYZ watts on 12V" indication.
I *think* that your CPU is a 65W unit, but without the model number, couldn't say for sure (I'm assuming E8335)
I'd say if you're getting at least 20 amps on the 12V rail(s), tentatively, you should be okay. It is definitely cutting it close, though.
I can almost guarantee that your PSU does not have a 6-pin PCIe connector, so you'd need a 1050Ti that doesn't require one (some do, some don't).
Only saying because I ran a 55W card (the 1050Ti is a 75W card) with a Pentium Haswell processor (53W, vs your probably 65W processor). My PSU was 220W, but provided 18A on the 12V rail (thus, 216W total on the 12V rail). Getting an updated PSU wasn't an option for me due to the small case and unusual size/shape of the PSU.
As mentioned by manddy123, a high-quality unit is also important, above and beyond the details of the PSU specs.