'She made me shoot a rabbit' (here, I don't want to use make causative as in my intended meaning, I was not forced but I was hired to shoot the rabbit and another thing, I wish to show that the action of shooting has been completed. But I wanna say this informally so, I choose to go with get instead of have causative).
'She got me to shoot a rabbit' ( I think here, 'to shoot' is not giving the sense of Shooting has been done or completed).
'She got me Shooting the rabbit'(Shooting is in process here,not finished).
'She got me shooted the rabbit' (It is wrong as 'shooted' is followed by 'the rabbit' and Here, 'shooted' is giving passive sense not active).
'She got the rabbit killed by me' (I think it is the least wrong one. But It is followed by 'by+agent' and I don't think a causative can followed by it).
with the help of my all four attempts I think you would've got my intended meaning. So, can it be expressed with 'get' causative. And is there any better way to say it?