If you are not inviting someone because they are single and feel that they may or you may feel awkward why not include a plus one, could be a friend or relation, not necessarily a partner, if they wish to ofcourse. It seems very unfriendly and unkind to not invite some one to a village gathering, so try to make the first step when it's safe to do so and start to circulate a bit more, and invite people round for a cuppa sometime.
BBC Radio 4Extra Scheduling Shake-Up.