Most phobia names are made up of the appropriate Greek root word plus 'phobia'. The Greek for 'curtain' is 'kourtina'...ie that's where we actually got our word 'curtain'...so how about 'kourtinophobia'?
NIce idea, Wildwood, but it's virtually always the case that both elements are Greek root-words rather than a mix of Greek and some other language. Perhaps the French use 'vitragephobie'!
There is definately a condition whereby the sufferer is obsessed with curtains and emotionally attach themselves to the people who open them, really, watch Enduing Love with Rhys Ifans you'll see what I mean.