Both you & the other person need to be properly configured in regards to firewalls or else direct connect won't work. Also, you both need to have available both upload & downld slots & bandwidth at that time.
Do this test:
Bug Report instructions & sample image Is the result True/False?
If false, then it shows you're firewalled. This is usually also reflected by a brick wall in front of a globe icon at the bottom of LW.
Make sure your software firewall is configured to allow LW full access. Also make sure UPnP (universal plug & play) is enabled on your modem/router. If your device does not have this ability then most likely manual port forwarding is required (this does not apply to dial up users.) Instructions for all of these are here:
Connection problems? Check here first! (click on link)
More on direct connecting here
How to use Magnet Links & Direct Connect. BTW magnet links is a good way to send files to a friend. Once they start downlding such a file, you can both browse each other. Browse works best if Chat is enabled (Tools>Options>Chat)