Feeding a high input amp, load xformer, don't load?

[Qmavam]

I have a FET follower RF amp. It is a high input impedance ~330kΩ and a 100 Ω output impedance. I have it on an antenna that has a 330 Ω output impedance. The antenna works fine NOT being terminated with 330 ohm,
i.e. it's fine seeing the 330kΩ load of the amp input.
 The amp does two things, it doesn't load the antenna so I get about 2 times the voltage output. Second, it does an impedance conversion, in this case a 1.8 voltage gain over the step down of a matching transformer. That all conspires to be ~ 9.8db of gain.
 My question with the caveat, that over driving the input of an amp will
cause unwanted problems.(but how far can I push it)
 Now, say I put a step up transformer on the antenna to feed the amp input, say 1 to 3, i.e. 330 Ω to 2,970 Ω, a 3 X voltage step up.
 Now I have 3 times the voltage on the input of the amp. and another
~10db of gain. That seems to come at no cost, unless I start to over drive the amp.
 My question: The antenna impedance is 330 ohms,  I wind a transformer that is 330 Ω to 2,970, that would be driving a 330k Ω circuit.
 That's seems to be a problem, but maybe not, the antenna would just see the transformer as a much higher impedance, just as it originally saw the amp, when it was connected directly to the antenna.
 I would think the antenna sees a inductive reactance load instead of a resistive load. The obvious solution would be to put a 2,970 Ω resistor
on the amp input.
 Do I calculate the inductance of the primary any different than usual since the secondary is unloaded? Should I just add the resistor.
Here's a schematic of the amp.
> https://www.dropbox.com/s/x6z2vpbseri7ysu/2%20FET%20Troubleshoot.jpg?dl=0

  Your suggestions please.

                                     Mikek