Sorry to hear about your situtation, but it will definately cause a problem with other insurers. One question which is on all life applications is, have you been rated or declined by another insurer. And even if it was not, rating of over 50% (could be 75% but I think it is 50%) and cases who are declined are placed on a register which is viewable by all insurers. Notwithstanding this, I have seen a couple of cases which were declined by one insurer but accepted by another, albeit rated, all depends on the insurance companies reasoning as to why the life was declined.
In relation to your loan, your lenders must let you complete even thought you cannot get cover, ask them for the waiver form which covers this. The risk is yours at the end of the day and both parties to the loan must sign the waiver.