cerrahpasalilar, I think you are worrying unnecessarily, indeed far too much! You need to appreciate the significant change to the relevant EU/EEA legislation introduced with effect from 30.04.06, and because of the way you are writing, I don't think either your nor your fiancé have started to appreciate what rights are actually held.
For a start, you mention your fiancé submitting a form EEA1 and no doubt now has a Residence Permit in his passport. Getting that certainly does no harm at all, but it is no longer compulsory for an EEA Citizen to apply for a Residence Permit. Or put it another way, that Residence Permit is merely confirmatory, and by itself gives no additional rights to your fiancé. He had his Treaty Rights anyway!
Likewise, as soon as the marriage has taken place next month, you also have those same EU/EEA Treaty Rights ...... assuming your husband (as he will then be) is in the UK exercising his Treaty Rights, and we already know that is the case because he has his Residence Permit!
So again, it is not compulsory for you to apply on form EEA2 for a Residence Card. You can if you want, but you do not have to! You will have your Treaty Rights from the moment of marriage. However, for you, a non-EEA citizen, it is a good idea to use the form EEA2 to apply, because it is actually rather useful to you to have confirmation that you do indeed have those Treaty Rights.
By the way those Treaty Rights include the ability to be a student, which of course is exactly what you want to be, to finish off your PhD.
Can they refuse the EEA2 application? One concept mentioned in the regulations is about a "marriage of convenience". Treaty Rights are not gained by entering into such a marriage. However, in the absence of any suggestion that yours would be a marriage of convenience, there is no reason to think that your application for a Residence Card would be refused.
Have you actually downloaded the form EEA2? If not I suggest you do that now .... by
clicking here. And then have a good read of the form. At the very least, once you have done that, you will stop posting nonsense about accommodation! You really do seem to be confusing an application on form EEA2 with a visa application! Totally different!