Simple receiver not working
Apart from the fact that a coil across the emitter resistor completely alters the dc quiescent point of your transistor you have to think about what the input impedance is looking into the emitter.

You are driving a current through the collector that is quite high because the base bias is a single pull up resistor. With maybe 3 mA flowing in the collector, the input impedance to the emitter is about 9 ohms. This is largely dictated by the formula 26 mV / Ic.

So, if you put 9 ohms across the coil and looked at the signal on the oscilloscope you can't expect your signal to be unaffected. It's going to be highly attenuated.

So, two things, ones a problem and one is an issue. Try feeding the coil to the base and design a properly biased common emitter circuit. You should be able to get a gain of thirty.

Better still, resonate your coil with a tuning capacitor and you might get ten times more signal.