Emily tells the internet access company that Lorelai keeps her spare key in a frog, but it’s actually a turtle. The fact that Emily makes an error was probably meant to suggest that she rarely visited Lorelai and didn’t pay much attention to the details of her life. Later on it turns out that Emily has never visited Lorelai’s house at this point, which makes you wonder how she knew about the spare key holder at all. Possibly Lorelai had mentioned it to her at some time, although it’s difficult to imagine the circumstances in which this would have occurred.
The fact that Emily gives the internet company permission to break into her daughter’s house while she is away from home speaks volumes about her high-handed attitude. It’s apt for the scene that Lorelai keeps the spare key to the house in a turtle, considering that she wants her internet to remain slow.