Hi Brian, pretty good capture for a daylight shot. Thet do tend to be a bit soft.
The previous comments are all valid, but on a 'practical' note.....
To address the noise...
Not sure what software you are using, but you can probably reduce the noise considerably if you select the blue channel and then apply noise reduction. (in general there is more noise in the blue channel than red or green), so since the primary element in the image apart from the moon itself is sky...... and nicely blue at that
The moon...
To be honest I'd expect the moon to be fairly soft and washed out if you have achieved the correct 'brightness' for the blue sky. (Which I thinh you have
)
When I've taken a daylight shot I've selected the moon and then used a vibrance layer in luminosity mode to add more contrast. Additionally, I sometimes adjust the hue and saturation to reduce the blue element which contributes to the washout.
Overall though, if you are not too fussed about the brightness of the sky, using a levels layer and simply reducing the overall brightness will make the moon 'pop' a bit more.