If you are trading in a reputable exchange, they wouldn't delist it right away. (Delisting is the right term to use instead of delete)
For example, I remember having an email and it includes this:
You are receiving this message because you hold a balance in XBC, VRC, NEOS, GRC.
We want to remind you that you have up to and including October 25th, 2018 at 12:00 ET to withdraw any balance of XBC, VRC, NEOS, GRC.
If your balance of XBC, VRC, NEOS, GRC is not withdrawn by this time, it will be archived and no longer offered for withdrawal. We urge you to withdraw as soon as possible.
To withdraw your assets, please visit the Balances page of your account and provide a withdrawal address for the currency you wish to withdraw. We will send another email reminder in the coming days leading up to the deadline. For more information about the delisting process, please visit our blog post. We greatly appreciate your support.
At least, with this, you would be able to put it in your wallet and keep it safe. I'm not sure but I know they stop trading with the coin if they are going to delist it.