One way you can instantly start to alleviate cold symptoms (runny nose etc.) is to cut out your dairy intake (completely if possible) - Dairy products help create mucus and cutting out milk, cheese etc goes a long way to stop those runny noses!!! I'm not a great dairy eater although I can't say that I don't have any at all - I am rather partial to a certain high street coffee chains cappuccino's and I do also like the odd lump off cheese (all cheese) but as soon as I find a cold coming on and the nose starting to run freely I cut them out and by including certain Chi Kung exercises (standing and moving) I find the problem really starts to ease.
You may not know the Chi Kung exercises but there is certainly nothing to stop you trying the non dairy approach to the problem.
Try stopping milk in your tea altogether or change to Green Tea too.