No it won't work since it, like almost all cards, requires at least a 300w psu.  Check all the specs of cards you are considering to see the minimum psu, not the power consumption. The power supply runs the whole computer not just the gpu.  If you look at the options for your model on the sales site, no discrete card is even offered in customization. Your model is meant for business use, not gaming. You should be satisfied with the integrated graphics. Any card you can find that might work would be old and outdated and would not be as good as the integrated graphics.

See the card's requirements here and also note the double slot and the 5.4"-6.68" length required--

https://www.geforce.com/hardware/desktop-gpus/geforce-gt-1030/specifications

https://www.dell.com/en-us/work/shop/amd-radeon-r5-430-full-height-2gb-dp-sl-dvi-i/apd/490-bdlo/
Manufacturer part H7WJ3
Dell part 490-BDLO

https://www.dell.com/en-us/work/shop/amd-radeon-r5-430-half-height-2gb-dp-sl-dvi-i/apd/490-bdlr/
Manufacturer part 83J08
Dell part 490-BDLR

This product is compatible with the following systems:

• OptiPlex 3050 DT
• OptiPlex 5050 DT
• OptiPlex 7050 DT

WOW, i never answer to these but you certainly are very negative. The fact you said this - 

"You should be satisfied with the integrated graphics. Any card you can find that might work would be old and outdated and would not be as good as the integrated graphics" <---------THIS IS AN ABSOLUTE JOKE.

The fact someone responded right below with options is laughable. You could have also suggested a PSU upgrade and an OEM card to be installed but it seems they should JUST BE happy and shut up...you area such a piece of work