Essentially when the stock markets start to tumble like yesterday(Especially with the S&P500), traders need to sell off any liquid assets they can in order to meet margin calls, so all commodities and risk-on assets like Bitcoin will have constant selling pressure during the period, usually this wanes over the following days and things begin to return to previous buying pressures (And eventually after prices) once everything has stabilised.
Of course, since the real route cause here is the coronavirus, no one can say really if anyone is out of the woods yet, and if there was a 2nd S&P500 sell off with BTC market cap so low now it could plunge even further.
BUT, a global recession in and of itself wouldn't be the killer risk to crypto, it's more the instantaneous side effects of the stock market crashes that do it.