A shame
@delb0y .. you missed two hours of splendid jazz. It's heartening to know that there's a wealth of young talent in the UK at the moment. Perhaps BBC4 will show it again - or perhaps it's available on the i-Player (I can't access that as I'm outside the UK).
I'm not a musician - just a huge fan - so sorry, I can't give you any tips on playing jazz.
I lived in SW London in the early 1970s and I spent a lot of time in small, boozy and smoky folk clubs listening to the likes of Davy Graham, John Martyn, Michael Chapman, John James (does anyone remember him?), Stefan Grossman, Gordon Giltrap (before he went prog rock) and many others. I was also lucky enough to see John Fahey play live once - my God, what a guitarist he was. I'm currently downloading some of his late 1950s Fonotone recordings - reissued by Dust To Digital as a 5-CD box.
I also have a decent collection of music by William Ackerman, Leo Kottke, Michael Hedges, Norman Blake and Robbie Basho - so we share some non-jazz musical enthusiasms.
If you like Gypsy jazz, have you listened to Martin Taylor's music?
As you'll have guessed from my username, I'm a Blue Note fan too - and I listen to everything they released up to around 1969 (and a few bits and pieces after that). As for jazz guitar on Blue Note, Grant Green's been a personal favourite for many years now.
I have some Paul Desmond recordings - mostly with Brubeck - but he's a bit too "cool" for my tastes (I prefer a bit of anger in my jazz). I've just had a look and found "Pure Desmond" (from 1974) with Ed Bickert on guitar .. I've forgotten all about it. Thanks for the nudge - I'll give it another listen later this morning.
I'm sure if you keep practicing then you'll find more fluency playing jazz guitar. Good luck !