I accidentally left an unopened block of Monterray Jack at my Mom's house (about 4-1/2 hours away) and she shipped it back to me (1-day air, no less) in a box without anything to keep it cool and the temp today is 84 degrees F. It's all soft and floppy now, but not at all sweaty. Would you consider that still edible? I saw a previous question concerning cheese left out in a car overnight, while cool, but this is slightly different circumstances.
Cheese – Unopened cheese shipped in heat
cheese
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The term "bad", when applied to cheese, can actually refer to a great many defects (p. 14), several of which are caused by improper or over-aging and only some of which are dangerous. The issues that you most likely need to worry about are:
Moisture loss applies primarily to soft cheese and is probably the first negative effect you'll see. In a sealed package, it will "sweat" as Ivo points out, caused by water evaporating and then condensing again on the packaging, forming little droplets. Unsealed, it will simply dry out and become hard.
This is not spoilage, and the cheese is still perfectly good to eat, it just might not have as pleasant a texture and might have a slightly flat flavour. You can just cut off any hardened edges.
Oxidation gives a slightly metallic taste but more importantly leads to rancidity - discoloration and a sour smell/taste. This is caused by light and is why you should store cheese in a dark place. If you left it in the car during the afternoon, it may have been exposed to a good deal of light. However, proper packaging greatly slows oxidation and wax paper in particular is an oxidation inhibitor (that's why cheese is often wrapped in it!). Light exposure also would have been minimal at night. You're probably fine in this respect, but use your nose. If it smells sour, don't eat it.
The chemical process itself results in peroxides and free radicals, which are obviously not good to eat, although there seems to be some debate about just how dangerous they are (some say it raises the risk of cancer, although I'm unable to find an authoritative source, and this might just be an urban myth).
Mold is the most obvious form of spoilage and usually also the last. Although most mold is technically aerobic, many strains are capable of growing with very little oxygen, and I personally have seen mold growing on an unopened package of cheddar that I'd forgotten about for several months. I'm sure I don't need to tell you that mold isn't safe to eat; however, by the time there's enough mold to be dangerous, you'll be able to see it.
Contrary to what Ivo's post suggests, the mold you'll see growing on spoiled cheese is not the same as the mold that the cheese was made with - some cheeses, like parmesan, aren't made with any mold at all, although they can certainly grow mold later on. The molds used in cheese-making are typically some variety of penicillium, which is safe to eat. The mold that grows weeks later could be anything, and is not safe to eat. Ivo is also partially correct in saying that the packaging does not prevent mold growth; however, it does slow it down by restricting the available oxygen.
On the whole, I tend to agree with the other answers that your cheese will almost certainly still be good after only 1 day. Keep in mind that cheese is thought to have been popularized as a method for preserving milk before refrigeration existed - the whole idea is that it lasts a long while, usually well over 24 hours before food safety becomes an issue.
I'm not sure that's the right way to go about this. There are tons and tons of types of cheeses. I'm not sure you'll find a good list of all substitutes because it will be too big to put together.
Instead, I think you need to learn about the types of cheese so that you can make an informed decision. Is a cheese blue, sharp, creamy, hard, soft? How does it melt? What part of the world is it from? Those questions will allow you to find a cheese that is similar enough to make a good substitution.
For instance, if a recipe called for Pecorino a hard Italian cheese, Parmesan (another hard Italian cheese) would make a much better substitute than goat cheese or cheddar.
So see what cheeses are available at your local store. Write down the whole list (and preferably buy some of each). Get home and do a little bit of research on each one. Where is it from? How do people describe it? Take some notes on all of this. Then, when you see a new cheese in a recipe, look it up and see how it's described. Then find a cheese from a similar area with similar characteristics, and you should be good to go.
Edit: While I stand by my approach as a great way to go about this, I did find a good resource. Cook's Thesaurus has a great list of cheeses, including substitutes, broken down by type of cheese, type of milk, hardness, etc.
Best Answer
If it hasn't sweated and doesn't have any mold spots on it you should be fine to eat it. Putting it in the fridge for a bit should firm it back up to the consistency you're used to.