The bill that was going through the last Parliament has fallen by the wayside because it didn't make it before the election, so it - or something like it - would have to be reintroduced and the process started all over again. That might well happen, perhaps by way of a private member's bill supported by the Government. But it hasn't emerged yet and the longer it is in abeyance, the more likely other issues and priorities will soak up Government attention. So it's watch this space, with no room for complacency.
Some countries may have already introduced bans, apparently, and the CIC is arguing that such actions within the EU should be left to the EU itself and not national governments. If this argument gains traction, it could be useful - or disastrous, depending on whether you think the bureaucrats who run the EU approve of trophy hunting. Either way, I wouldn't hold out much hope for this angle.