New to this bit of the forum and generally lurk more than post but would appreciate some advice.

Got a business trip to Vilnius planned flying Finnair. The return on 28th Jan (VNO - Hel - LHR) has 35 minutes to connect but looking at this thread they suggest 40 mins for Schengen to Non Schengen which UK is. Is this doable and is there any chance my luggage will too? Never had a connection that short so making me a little nervous.