Will the Queen give Brown a Knighthood?

Or will he be ignored like Blair?

Blair made it clear he wasn't interested in doing anything more in Parliament, and didn't want to be a Lord (perhaps because he'd have been expected to detail his income if he had done so, and he is desperate to hide where the money for his foundations and the money he personally gets comes from). Having rejected being a Lord, I think the queen didn't feel like giving him a knighthood either. I hope no-one changes their mind about that.

Brown is not so desperate to be rich, so he may accept the scrutiny (and the last I heard, he's staying on as an MP in this parliament anyway, so gets the scrutiny). It's possible he'd get a knighthood while still in the Commons, if he wanted it. But he does have a little bit of his left wing past in him, and might not want that either.

except Blair all were given honours and knighthoods. Even John Major who suffered a worse defeat than Brown is Sir John Major. Blair failed to get it because he was not up to the Queen's standards during weekly meetings and she didn't like his hunting/rural policies. Brown? Anyone knows?

Possibly the Order of the Garter.

Former Prime Ministers are traditionally entitled to an Earldom though since the creation if life peers in the '50s this has been less common with only Macmillan (Earl of Stockton, created in the '80s) taking one; according to rumour Thatcher took a life peerage because she didn't want to impose the 'burden' on Mark, with Dennis Thatcher being made Baronet so that he would inherit some title at least.

Those Prime Ministers who didn't want to go into the Lords (Churchill, Heath, and Major) were given knighthoods.

That Blair has received neither peerage nor knighthood suggests that this was his choice, and I see no reason why Brown wouldn't be the same.

The Queen never liked Blairs informal style towards her and his rural policies that why she never awarded him.