Thank you for all the replay above
@Paraballa
Yes, I am near the age of 40 so...I am aware of the risk to have a baby with down syndrome. If I have a bad result from blood test supported by NHS, I will check again with private service such as Harmony or Panorama for sure 99% then we will make a right decision. Better will be sooner in any case I suppose. You don't think so? 
I finally made a contact to my midwife after called every department and sending emails to related the first trimester test in Edinburgh and made an appointment for tomorrow.
However the process was really frustrating and what the midwife did was only booking my blood test in a min after calling at the same place I attended for scan yesterday!
Why do I need a person only for a booking even without any special consulting or advise? (Even not able to answer on time) Why isn't there automatic computer system to put a patient name on the asap time list as a phlebotomist was not ready for me, not my fault!
It was a stupid feeling to experience this process and this level of public service.
(You know, it seems like free but public service is not actually free. We pay for nhs or?) Because this is actually not a complicated problem or special step but my right to check very basic test as a pregnant woman. I surprised how this kinds of simple basic system is not well set up for the people.
And in Scotland, you are not given any text able phone number and I do not get any of information about the midwife's visiting time to my clinic. (I heard in England it works)
I desperately hope my least of journey for becoming a mother is not worse than this.
Thank for all of you who wrote reply again! 