IT looks like a russula. I'm just guessing. Based my guess off of the looks of the stem. Try snapping the stem in half.

 

Here ya go!

 

I did see some with reddish caps in another yard that russula came to mind, but I was being watched. They were not near those and I did not get them.

The mushroom shown- wife and I could not smell anything to distinguish it. Basically no smell.

 

Russulas come in all colors. The green ones are pretty good from what I hear. I passed up thousands of them today. Most were emetica (red)or the color of yours. I think I saw a dozen purple and a few green. One of these days I'm going to sample the green.

Did that stem snap like chalk? It looks like a clean break.

 

Gosh, not as firm as chalk, I did not think significant either way. Pinched and broke with finger nail.
I'm not familiar with russulas, I see that there are varieties.