If I wanted to it is at this stage that I would flood the thread with thin superglue and leave it a couple of hours to harden before running the tap through it again to remove any extra glue.
This piece is now finished apart from rounding it out ready for use. If you were making a boss for a larger face plate you could turn it around and part of the thickness you want the start again and make at least one if not 2 more from this piece of wood.
Before being shown this way of cutting the thread I had tried several times to do one and messed it up every time, using this method I have made about 30 different items and they have come out right the first time. You can now go on to make as many different face plates, cup chucks, vacuum chucks or a variety of other bits and pieces to make turning easier or as a way to get that tricky job done. Have fun and enjoy yourself but above all work safe.
Below is a picture of the piece ready for action, I would put a cushion of router mate over the end then the bowl and bring up the tail stock to hold it in place so I can remove the spigot.