Burns nights generally are NOT men only these days

The ones I went to in Scotland had a Toast to the Ladies and The Ladies Reply (both are comical original talks by the speakers). I havent come across that part of the order of cermony in N Ireland or Co Donegal, but the events were not male dominated. There are Burns nights in Burnfoot and in Newtowncunningham, east Donegal; and a Burns weekend in west Donegal. The Ulster Scots Agency publishes an on-line list of many Burns events in N Ireland.

In my area the library and the district council are both staging Burns events, not full Burns night supper and céilidh; but poetry and song and a taste of haggis and neeps (turnip).

The web has lists of some London events -
http://www.timeout.com/london/things-to-do/burns-night-in-london
https://www.designmynight.com/london/whats-on/burns-night-in-london

this looks good (if pricy) for folkies, lots of dancing; in Hammersmith and a choice of dates https://ceilidhclub.com/burns-night-2017/ "Our celebrations will be held at Hammersmith Town Hall on the 20th, 21st, 27th, 28th, Jan and the 3rd and 4th Feb 2017. There's no better way to get rid of those winter blues than 3 hours of dancing, haggis eating, poetry and drinking with friends old and new.

"If you would like to recite a Burns poem or song then please get in touch."
choice of vegetarian or meat haggis (veggie haggis is really tasty by the way)