There's nothing like a graph to picture a situation.
In orange, the stock market and in blue, interest rates
The stock market usually goes in the opposite direction than interest rates.
However, let's not forget that the current rates are extremely low. If they go 0.5% or 1% higher, they will still be way way way way way lower than historical average.
If rates go to 10%, it will be very bad for investors. But as long as they're somewhere in between 0 and 3%, I don't see what's unusual and dangerous.
Higher rates will force people and businesses to be more cautious with money. Because when it's too easy to access money, people and businesses tend to become stupid. They create needs for themselves that don't exist. They buy stupid things. It has always been like that and always will be like that.
Good companies will do well if interest rates are 0% or 5%. Probably not as well with 5% rates than with 0% rates, but, good enough.
Anyway, catastrophes with a specific stocks usually happen because of something within companies, not oustide companies.