I think you misunderstand the definitions.
The critical temperature is the temperature above which no amount of pressure will cause a gas to liquefy.
The critical pressure is the pressure which will cause a gas to liquefy at its critical temperature.
A supercritical fluid is another state of matter. A liquid and a gas phase have been subjected to pressure such that the two phases disappear and only one phase remains.
I don't think critical fluid has any real definition other than perhaps a liquid-gas mixture at the critical point (critical temperature and critical pressure). I think this point would be more theoretical than real. You'd be trying to balance the system on a razor's edge.