The win is Fordham's first over an FBS opponent since it reinstated its football program in 1970 and advances the Rams to 3-0 this season. Temple, meanwhile, is 0-3 for the first time since 2007. This is the Owls' 11th all-time loss to an FCS team.
Nebrich completed 23 of 36 attempts for 320 yards and two touchdowns. His final pass, the game-winner, was reviewed when Temple challenged that Ajala was an ineligible receiver after he went out of bounds.
The touchdown was upheld when the referees ruled that Ajala was forced out and legally re-entered the field.
Temple nearly rallied in the second half behind emergency quarterback Connor Reilly, who started Temple's first two games but injured his right knee in the fourth quarter last week.
Temple trailed 20-7 in the third quarter but Reilly led the offense to three touchdowns on his first three drives, twice giving Temple the lead in the second half.
But on his final play of the game, Reilly engaged in a prolonged scrambled before he was finally sacked. He finished the game 7-for-8 passing for 69 yards with two touchdowns, after appearing in relief of senior backup Clinton Granger and freshman P.J. Walker.
Reilly said after the game that his injury is officially a bone bruise and a sprained ACL.
For Fordham, Ajala finished as Nebrich's leading receiver, with seven receptions and 134 yards. Carlton Koonce amassed 194 total yards and a touchdown on 26 rushes and four receptions.
Temple linebacker Tyler Matakevich recorded a game-high 14 tackles. Matakevich has led Temple in tackles in 10 of the 11 games he's started, dating back to last season.
Ohio State remained No. 1 in the AP Top 25 and tied a poll record Sunday despite lagging support from voters. Meanwhile, No. 2 TCU and No. 3 Baylor edged forward and No. 4 Michigan State slipped.
Will Grier threw four touchdown passes to four receivers -- all in the first half -- and No. 25 Florida downed third-ranked Mississippi 38-10 on Saturday night.
Leonard Fournette highlighted his SEC-record third straight 200-yard game with a 75-yard touchdown run, and No. 9 LSU overcame Eastern Michigan 44-22 on Saturday night.
An officiating error led to an Oklahoma State touchdown Saturday in the Cowboys' 36-34 win over Kansas State.
Texas A&M receiver Ricky Seals-Jones, who was ejected for targeting midway in the second quarter of Saturday's game, took to Twitter late in the game, retweeting a tweet that questioned the call.
As if things weren't going bad enough at Texas, the Longhorns appear to have players on Twitter during lopsided losses and jabs at their coach accidentally being sent from other nearby teams.