I have never seen a T-flip flop as a part, so presumably you are wiring a device as a T flip flop.
Does it have race conditions? Given that it has only one input then no. The single input is unrelated to any other input, so no race hazard is possible. However, it still has timing constraints which is the relevant factor.
Any clock on any input has timing constraints. There may be a minimum slew rate for example. Certainly there will be a minimum high and low period. If the pulse is too narrow the flip-flop can go metastable and not toggle. Respect the timing constraints and you will have a reliable design. Ignore the timing specifications and you get an unreliable design.
Of course the system may have race conditions. If you asynchronously toggle the flip-flop then the part which receives the toggled signal can have set up and hold violations.