Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE Rating ( rID int, mID int, stars int, ratingDate date )
TABLE: CREATE TABLE Reviewer ( rID int, name text )
TABLE: CREATE TABLE Movie ( mID int, title text, year int, director text )

### Question ###
Show the director and their lowest rating among all movies in a bar chart, list by the director from low to high.

### Accurate SQL ###

SELECT director, MIN(T1.stars) FROM Rating AS T1 JOIN Movie AS T2 ON T1.mID = T2.mID GROUP BY director ORDER BY director