Well, I'm not a professional so don't take my advise if you don't feel comfortable with it.
In similar cases I have used transparent super glue in very small amounts. Be extremely careful, you don't want to spill it all over and create a sloppy mess.
Then after it dries up, apply a small amount of high quality acrylic paint on top of the affected area with a small paint brush, but be very gentle with it, you don't want it to show a different coloration on the statue.
You can always find good matching paint at a handcrafts store or even at any Walmart. to make sure you have the correct color, you should carry a picture of the statue ( I would use my phone), to compare the colors. Just don't forget, paint tends to get lighter after it dries up, so you might need a second coat.
I have used this inexpensive technique many times before and I have no complaints. You will be able to fill the gap with the glue and cover the area with the paint, to make it almost invisible to the naked eye. I am sure sculptors and painters on the site would give you a more professional advise or maybe offer their service, but that might cost you a pretty penny. Good luck!!
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