If the edges are jagged cut it off cleanly and leave it alone. Btw it doesn't look like a cherry to me. More like a pear from the foliage. Does it bear cherries?

welcome to the forums ...

all trees can SURVIVE pruning ... or removal of limbs ... thats nbd ....

and trees are made to blow in the wind ... thats nbd ... as i would presume many trees in your area survived the big blow ...

the question we need to look at.. is why your tree was weak in the first place ... and we could need better pix to determine such ... like the wound itself ....

and of course.. the ID ... which would require a pic of the leaves ....

ken

Enlarge the second picture, Ken. Pretty sure those aren't cherry leaves.

Here are some photos of the damage and leaves close

Definitely a pear and very likely some form of callery pear. In addition to these being an invasive species across a large part of the country, they also tend to have very brittle wood and structural issues that make them very prone to wind or any kind of storm damage.

That is a major wound - a lot more serious than any 'broken branch' - that the tree will not be able to seal and scar over and will continue to contribute to rot. It ls time to consider removal.

Consider, also, that a significant reason to have a tree is looks. Once the tree is substantially deformed, as well as being in an aged condition, why would one want to keep it, versus having a new, pretty one. The location looks too shady to grow that kind of plant well.