Match Summary
The Red Devils' disappointing recent struggles continued at Leeds' fortress, but head coach the Portuguese tactician had Matheus Cunha to thank for his side not suffering even more disappointment against Leeds.
Dominic Calvert-Lewin headed a first-half effort against the post for the in-form home team before the American midfielder applied a cool finish with a low, 62nd-minute effort.
With the goal, the United boss was in the firing line after his side had been held by struggling Wolverhampton Wanderers at home earlier in the week.
Nevertheless, against a team who had two days less to prepare, Cunha levelled three minutes later when he ran on to a pass from substitute Joshua Zirkzee and guided a finish underneath rushing home goalkeeper Lucas Perri.
It was only the South American's fourth goal since his high-profile summer move and came at a time when the manager is without several key attacking players due to a mix of injury and international duty.
Not that the hosts to sympathise with that given their own lack of preparation time.
Noah Okafor forced a diving save out of Manchester United goalkeeper Senne Lammens with a audacious overhead kick, and visiting heads were in hands when Benjamin Sesko, who is struggling to make an impression, turned Zirkzee's cut-back wide from six yards out.
Cunha, who had a goal ruled out for offside much earlier in the contest, also blasted against a post in the dying moments.
The draw extends Leeds' unbeaten run to seven matches, their best such streak since over two decades ago, and takes them a significant margin clear of the relegation zone.
For the visitors though, it was yet another opportunity to move into fourth spot, albeit only for a short time, squandered.
With the Africa Cup of Nations reaching its latter stages, Amorim could be forgiven for hoping the participating nations make a swift exit.
Existing injuries to captain Bruno Fernandes and Three Lions star Mason Mount only heightened the impact the unavailability of other forwards is having on Amorim's options.
It's not that the missing pair are the solution to all of United's problems. After all, they were part of the side that suffered disappointing results earlier in the campaign.
But without them, Amorim has limited alternatives in attack.
He evidently does not have full faith in teenager Shea Lacey or the much more experienced Zirkzee, even though the Dutch forward provided the assist for Cunha's equaliser almost instantly after his arrival as a replacement.
That leaves the Brazilian, who has now scored three goals in five games, and others playing out of their natural positions, alongside Sesko.
On this showing, the big-money frontman looks no better than previous underwhelming signings, lacking in belief and assurance in front of goal.
His failure to turn home Zirkzee's cross means it is now nine games without a goal for the young striker.
After memorable victories in their previous home games, the arrival of their fiercest rivals to Elland Road was a bit drab affair.
True, there were instances of typical fervor, but the hostile edge was not as pronounced as in previous encounters.
The home fans were more preoccupied about their side's inability to get sustained possession in advanced areas for any prolonged period.
The Calvert-Lewin header that struck the post was an rare moment of quality in a congested first half.
It still felt as though Leeds were finding it tough when a mistake opened the door for Aaronson.
For a short moment, Leeds' ecstatic fans thought they were about to secure a coveted win against Manchester United.
Nevertheless, there is a much bigger picture for Daniel Farke and the club to deal with.
When they endured a difficult run of form earlier in the campaign, many speculated about the manager's position.
In contrast, he is now masterminding significant improvement.
The task is not done yet but gradually, the team are getting nearer to securing their survival.
The Yorkshire club have a top-flight trip to Newcastle in midweek, followed by the start of their domestic cup campaign next weekend. The Red Devils face a Premier League trip to Burnley before also entering their cup journey with a Old Trafford tie.