Get some thick plastic straws and fill them with icing then stick the topper stick into that. You can get some from McDonalds when you buy a drink just take a couple extra. Most likely you would only need one & cut it in 1/2 but have a couple incase the cake is extra tall. Push a straw into the cake to see where to cut it off - right at the level of the cake before it is iced, then cut it, remove and cut another exactly that same length, fill w/icing and it should be strong enough to hold the topper.
if you can cut off the things on the bottom -- you could stand it up on the cake board and lean it against the cake -- or you can insert it into the cake and prop it up in back with some popsicle sticks covered in icing -- pipe over them -- put them in at an angle to support it like a guy wire
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