Money is just a different word for credit. Credit comes from credibility, or trust.
If a bank trusts a company that they can repay a loan, they'll extend the loan. But if there's a credibility problem, they won't. At the margin, when interest rates go up some companies will cease to be profitable. Banks know intimately how profitable their borrowers are. Even if they have doubts, the income statements will show. So, when the times comes to refinance the loan, the rate may be increased, or the credit line decreased, or new covenants may be put in place, or some collateral required, or various combinations of these.
Corporations (and especially those rated "high yield", or non-investment grade) will see a double-whammy: not only interest rates will have gone up significantly (by 4% early next year), but also their credit spread will go up (see [1], on average it has gone from 3% at the beginning of 2022 to 5% now, and it will keep going up).
That creates the start of a feedback loop: with the increased burden of servicing debt, companies will become less profitable, some will start cutting headcount (just look at the HN posts lately and see how often layoffs are mentioned).
Of course, there's the other feedback loop: higher interest rates means higher discounting of future corporate dividends, dividends which will be smaller anyway, so that means lower stock prices. People will see their savings taking a hit.
And then, a combination of lower savings and higher job uncertainty will lead to lower consumer spending. Or demand destruction.
Which is what the Fed wants.
Make no mistake: the Fed is still the most powerful actor in the financial markets. By far. It has all the tools needed to fight the inflation, and then some.
[1] https://fred.stlouisfed.org/series/BAMLH0A0HYM2