this insertion will affect the existing ammeter readings .(due to ct resistance).
According to the CT operation principle, it would
not affect the reading (at least not more than the specified accuracy)
if
the total shunt resistance is below the specified limit. As a first point, you have to know the current transformers nominal VA rating.
As said, it may be as low as 1 VA, but also 2.5 or 5 VA are popular types. Than you have to determine the ammeter voltage drop at
nominal load. If it's below the nominal limit (VA-rating/5 A), your circuit can still add up some voltage drop to the total load. Because
the allowed resistance and voltage drop will be possibly rather low, you may want to use AC coupling for the first stage of the connected
circuit and get rid of OP offsets.
Your rectifier circuit isn't suited for AC coupling, because it draws a DC current at the input. You also should use a circuit that is able to
give a correct rectified average value, no a peak value as your circuit does. It will show incorrect readings with varying current waveforms.