'If the Queen doesn't have an idea to make Edward Duke of Edinburgh she would not have let the information out without correction from the palace.'
Not necessarily. The Palace is very much in the habit of remaining silent about things said in the press.
It's certainly possible that the Earl of Wessex will eventually become Duke of Edinburgh, but, as explained above, it will have to wait until after the Queen and the present Duke are dead. The present Prince of Wales, as monarch and after the dukedom has merged with the Crown, can then embark on a fifth creation in favour of his youngest brother.
On the subject of royal dukedoms, what is interesting is that none of them have lasted more than a couple of generations at a time.
To take York as an example, the dukedom was created by Edward III for his fifth son, Edmund of Langley, and passed to Edmund's elder son, Edward, who died at Agincourt (he was found face down in the mud after the battle, having either suffocated or had a heart attack). Edward's younger brother, Richard, Earl of Cambridge, had recently been attainted and executed after allegedly being involved in a plot against Henry V, but the attainder was lifted so that Richard's young son, also Richard, became the next Duke. The younger Richard was killed at the Battle of Wakefield in 1460. He was already under an attainder, so his son, Edward, did not officially inherit, but then seized the throne as Edward IV. Edward IV then granted the dukedom to his younger son, Richard, the younger of the Princes in the Tower, so beginning the tradition that the monarch's second son is made Duke of York. But since then, in every case, the dukedom has either merged with the Crown when the holder has succeeded to the throne (the most recent example is George VI), or died with its holder as he has not had a son. The present Duke continues in this tradition, as he has only daughters.
Kent and Gloucester are doing rather better. Both the present dukes succeeded their fathers. The Duke of Kent has two sons and male-line grandson, and the Duke of Gloucester has a son.
Ann