Whilst a veil may be traditional they are certainly not compulsory. It all depends on the style of your dress and how formal/informal your wedding is.
Just because you dont go for a veil, doesn’t mean you need to miss out on headgear all together though. There are some great alternative (and budget!) options
Dahlia fashion in london have some gorgeous vintage headbands that would set off an informal boho/retro dress beautifully
gorgeous headbands from http://www.dahliafashion.co.uk
Or, for a more informal trendy wedding, why not try a birdcage veil, like these from Lily Bella (starting at a very reasonable £14.99)
gorgeously stylish- from http://www.lilybella.co.uk
Personally, my dress had enough detail, so I just went for a combination of flowers
Sometimes a few flowers or a clip is just right
budgetcitybride 