I remember wanting to buy last year's Dec-Jan US Bazaar, but the length of time I had to wait for it to appear as an import issue in the UK, the pre-Christmas mood of the contents was well out of date, so I gave up.
Email newsstand.co.uk and ask them about it. If they say it's in (or imminent), if you let them know which cover version you'd prefer, they will try to accommodate your preference.
There's also uniquemagazines.co.uk, which Vogue28 recommended to me as another source, and I've ordered from them in the past - they're currently showing the Nov 23 issue of US Bazaar, but I note in the ordering details, they state that the Dec-Jan issue is 'out of stock'.
Sometimes you will get an issue that's so popular with fans, pre-orders mean that the issue never comes into stock - that happened last year when Madonna was on the cover of various Euro Vanity Fairs. As a general reader, I never got near those issues.