I’m not an expert at all but I just went through this (see https://litecointalk.org/t/sent-my-ltc-to-my-new-wallet-but-they-never-reached-it-pls-help/1952/15).
I think that if you resend the same amount to the same address, but with a HIGHER fee, then it will override the older stuck transaction, which will then disapear from the blockchain. This is what I’ve read on numerous forum posts, and this is how it worked for me. It sems you don’t need to wait that it is deleted from the blockchain (mine was still there after 8 days) to resend.
If it doesn’t show up it is perhaps because you did not put any fee, or a fee too low. Mine was 0.001 LTC (by default), which was not enough to get confirmations. With 0.02 LTC it went through in half an hour.