Staying and fighting has a high chance of failure resulting in loss of the dress, and maybe storage ring, slippers and flute if the fight is even remotely in Ling Qi favor at any point. On the very low chance of actually pulling a win, Sun wouldn't lose much, beyond her gear which is probably easily remplacable (she obviously isn't going to carry valuable stuff unneeded to a fight).
And while it would be a social blow, it's far from crippling. Sure, the boost in rep for Ling Qi would be amazing, but it's not worth the risk.
Also, we will end up fighting her in the Tournament anyway.
Fleeing to Zeqing has a ... rather random chance of success. Alien mentality counter Zeqing probably noticing she screwed up (though definitively not understanting why and how). Considering the fact that the Sun princess is not retarded and will obviously not provoke the OPed Yukionna, and will more probably try to argue some sect or duel rule/law or an other, i'd say the overall chance of escaping that way is rather low.
Jumping down will obviously have some countermeasures from Sun, but with flying, shadow-step, raw speed, counter-formation/trap knowledge, and mist-form I'd say this is the best chance of getting out of this with our gear intact. Sun already proved her defensive formation/traps are sub-par.
[X]"Take a dive off the cliff and head for the safety of your allies. You can't honestly believe that Sun Liling doesn't have some countermeasures for this though."