Despite the draw, Mumbai have stretched their lead to six points at the top of the table with 30.
A win will also strengthen their position at the top, stretching their lead to eight points.
Just when the game looked to be heading towards a draw, Williams turned the game on its head by heading in a corner in the 90th minute to get them out of jail.
Roy Krishna, their main attacking outlet, scored five goals in his first six matches but since then, he has scored just one in the last five.
Robbie Fowler was once again not pleased with Rahul Kumar Gupta's decisions and made his displeasure known at the end of the game.
The problem with Csaba Laszlo's team has been the fact that they have drawn most of their contests, five from 11, the second-most among all teams.
A first victory from the last five attempts meant last year's runners-up rise to fifth in the table with 14 points from 11 games.
Points are crucial for both sides as the two teams are languishing in the bottom four. Odisha are dead last with only six points from 10 games, Chennaiyin are eighth with 11 points from 10 games.
Chennaiyin FC are currently at eighth spot in the ISL 2020-21 standings with 11 points from 10 games with two wins, five draws and three losses.
The sixth instance of a goalless contest in this edition of the ISL means Chennaiyin are still eighth with 11 points from 10 games while Odisha climbed a spot to tenth with six points from 10 games.
Chennaiyin let in four goals against Hyderabad, the same number they conceded in their first four matches. Add to it their misfiring attack which has scored only eight goals, the lowest in the league.
The result meant Hyderabad leapfrogged their opponents and climbed two spots to sixth and now have 12 points from nine games.
For the sheer amount of chances that Chennaiyin create in games, they have managed to score just seven goals so far in the league.
The result means last year's runners-up climbed a spot to seventh and now have nine points from seven games. The Red and Golds climbed to 10th and now have three points from seven games.
The two-time champions are currently eighth with eight points from six games. However, a win would put them equal with fourth-placed NorthEast United FC and FC Goa.