The Blades were knocked off the top of League One as a result, but Wilson was at least pleased to avoid a defeat and keep a clean sheet in the process.
United's Ryan Flynn struck a post with a second-half shot, while home goalkeeper George Long came to his side's rescue with a fine double save to keep out Romain Vincelot's shot and David Mooney's follow-up.
Orient striker Shaun Batt was also thwarted by Long early on after finding himself through on goal.
Wilson said: "It was frustrating, particularly as the game went on.
"We didn't really have that little bit of luck. The keeper pulled off a couple of good saves and we hit the post.
"We had a couple of counter-attacks against us that could have been costly, but they weren't. It was one of those nights, but we'll get through it.
"I think that 13 points out of 15 is not a bad return. If you'd said that five games ago I'd have snatched your hand off. If we do that in the next five games, I'll be more than happy.
"We didn't lose - that's the main priority - and it's another clean sheet. It's a great clean sheet and that's what we'll build success on.
"There's nobody more disappointed in terms of not getting three points than the players, but they still understand that it keeps the run going."