ohh your foot, usually LCL is used for a collateral ligament in your knee.... i thought you meant that. I'd highly recommend starting to walk on it properly without any limping from today, weight bearing from early on with ankle ligament injuries are always much more effective. Id recommend you keep icing it in 10-12min intervals if it is swollen, and do gentle exercises to make sure you have your full range of movement. Id recommend too that you do work on your balance before you get back to trampolining as you are going to be predisposed to doing it again if it is not rehabilitated properly. Did you physio give you any exercises to complete?
walking properly may be a bit uncomfortable at first but try and persevere, you won't do it any damage (if it is a lateral ligament sprain in the ankle). Peroneal muscle strengthening is essential too for future injury prevention strengthening, id be happy to give you more advice if you are not going to see another physio.