The umbrella the guy kept was square was it not.
I keep thinking that it has something to do with the hands on a clock (Pointy)
also something is not right with this testomony.
The old man said: "I got a bit of blood on my right shoulder because i was standing to the left of her.". He also says "I was Pushed right before the woman let out the scream."
Heres a basic text diagram im looking at:
v- victim, O - old guy, M - murderer
V O
M
If he got pushed out of the way why does he still have blood on his shoulder.
Now for some accusations on the Archetect:
The reason he doesnt have any blood on his body could be because, he was using a similar trick used by the culprit in "Captured in her eyes". using the Umbrella as a cover while stabbing her somehow. A string could have been attached from the clock to the doors so that the door would open once it hit the time. Another string like Chekhov said could have been attached to the umbrella which when the time was hit it pulling it away (theoretically). Also he said he heard fabric like a dress moving towards them. This could just be because the Murderer bumped into the old man.
Onto the woman:
One phrase is stuck with me and thats when she comments Probably not Fugaki san as he is getting old in age. Conan asks her what do you mean and she doesnt respond.