What could happen if the Fed increases the rates

As I discussed yesterday that the market could overreact to the Fed's decision, then the market will fall. This could lead to an increase in the cost of financing, as when prices are falling, it is more expensive for firms to raise funds from equities, meanwhile the increase in the interests also increases the cost of raising liquidity from borrowing. Therefore, if this comes true, then the US economy is very likely to fall into a recession.