Does it matter if you are refused a visa to go to another country by the American embassy?

It doesn't matter if the United States refuses to sign another country. Now, except Canada, no other country knows whether you have been refused a visa in the United States.

It doesn't matter if you go to the United States after your visa is rejected. It's not terrible to refuse a visa. You can sign it at any time after refusal, but the key depends on whether your binding force is stronger than last time. If the binding force is more than last time, you can sign it again at any time.

If you don't change anything, that is, the binding force remains the same as last time, even if you sign in 10, the result will still be rejected, so when you can sign again after being rejected has nothing to do with the time, mainly depending on whether your binding force has increased compared with last time. As long as you add it, you can sign it again right away.