It definitely has a hint, in fact more than that, of Baroque. Methinks Buxtehude in style. Yes, there are elements of modernism, and there are also elements of "randomness". What I mean by this is sections where nothing seems to happen apart "let's try and make this piece a little longer". A little blunt, I know, but true.
I personally thought you had started the fugue very well and then it became more of a prelude or fantasia than a fugue, but luckily the theme came back at the end to remind us that it was a fugue after all.
Someone was influenced by Bach, especially at the end with the long tonic pedal although Bach would have done a dominant one instead.
What distinguishes a modern fugue from a Baroque one? Well, if you are going to use the word fugue, then it's a style which became very popular in the Baroque era. So if you are going to write a modern fugue, then I personally think the principle must be adhered to. These include subject (entering at the dominant), a countersubject, episodes, development to relative minor/major, recapitulation at the end, use of dominant/tonic pedals and so on... but with a modern twist. I am reminded of the shark fugue by John Williams in Jaws. He sticks to the fugue style but makes it more modern in rhythms and pitch.
Finally, chromatic fugue? Not convinced. Yes, there was chromaticism, but Bach did write an organ fugue which contained far more chromaticism in the subject. Can I remember which one it is? Not a chance, but I know he wrote one!