Which Delco did you order? How many amps? A problem with a lot of Delco 1-wire's (or knock-off equivalents) on these old tractors is that they often require a minimum RPM for excitation - often more than they typically achieve on an old, slow-revving tractor. And the higher the alternator amperage, usually the higher the excitation RPM. Back when the standard 1-wire's were only 35-40 amps, they'd excite at very low RPM's and they'd be dandy for any old tractor. These days it seems most 1-wire's are 63 or more amps, and usually require higher excitation RPM's. The 63A models are usually (but not always) ok on older tractors. Higher amperages are more problematic. And the RPM is, of course, also dependent on what size pulley you have on it. What diameter does the new alternator have on it? Have you tried revving it up high to see if it's charging? Once they're excited, they'll still charge down to any low RPM.
Another common problem is grounds: The 1-wire's need to be grounded through the mounting bracket, so if your bracket isn't making good contact with the block (or alternator not making good contact with the bracket), it won't charge. Most Delco's have a spot for an auxiliary ground wire you can wire between the alternator housing and somewhere on the block. It's quick and easy to run a temporary jumper from the alternator to the block to see if that's the issue.
Let us know what amperage the new alternator is, and what diameter pulley is on it. And if you' haven't yet, try making a good ground between alternator and block/frame.
The good news: Most 1-wire's can also be wired as a 3-wire, so if you need to it's quick & easy to wire it as a 3-wire to have external excitation, so you don't have to worry about the excitation RPM. One thing to keep in mind if you wire it as a 3-wire: You'll need to wire the excitation wire through an LED, indicator, or diode to not backfeed and keep powering the coil when you shut down: It's pretty common for an incorrectly-wired 3-wire to let the tractor keep running when you turn the ignition off. The quickest/easiest way is to buy one of the pre-made spade connectors for these 3-wire alternators because they already have a diode wired inline with the excitation terminal. But half the ones you buy these days have the diode in backwards, so you need to cut it out and flip it around. Very easy to run temporary wires to the alternator to temporarily have it like a 3-wire to know if that's your issue.