What's the process for an OBE?

I do hope not. I adore DT and think he's magnificent. But these 'Honours' are meaningless sh*te and elitist rubbish. Only sycophants go after them and shallow people who want people to kowtow to them. Definitely not relevant to the DT we know and love. Oh yes, a lot of famous people have accepted one but, so far as I am concerned, I lose respect for such people immediately. DT does not need a bunch of letters after his name,or a completely foolish 'knighthood' to draw people to appreciate his talent. Rumour has it that he was offered an 'Honour' a year or so ago and turned it down. I am jubilant if that is so. I have little time for BC and his accepting of whatever it was he got proves to me he is shallow and insubstantial. As for aging rock stars who fall over themselves to get acknowledged by the palace in this pathetic way, I despise them. I do. So, that's a No from me to the mere idea of David Tennant OBE or worse still, Sir David Tennant. A big fat No, at that. His avowed political outlook would not let him stoop so low! Please do no run away with the wholly false idea that these are 'rewards' for services to the Arts of whatever. That is a meaningless assertion. The best reward is the appreciation of the audience, being in regular work and the respect gained for doing a good job honestly and well.

But these 'Honours' are meaningless sh*te and elitist rubbish.
Not necessarily. A friend of the family was awarded an MBE for her charitable work with the children of British servicemen during WWII.

But no, I don't really see the value in the arts and entertainment category of these honors. It seems oddly out of place, like getting an award for just being popular.

He was offered an honour a couple of years ago and turned it down.

Yes, I know people receive 'honours' from the Palace for performing exemplary community service. I don't object to that, tho I do think a less antiquated and elitist form of acknowledgement could be found. But I am definitely against the proliferation of rockers and actors, civil servants and politicians being 'honoured' in this way. I can't help but snort with derision when some newly knighted or dame'd actor or performer smirks modestly, declares themselves to be vastly surprised, and accepts the [singular] 'honour' "on behalf of all the people who made me what I am today." It makes a fool of all of us.