Any lender is going to want to see a solid history of employment as that is going to the source of the money you are paying them. If there is a reason you have only been employed a year such as just out of college, coming back into the work marketpace etc. that can usually be worked out. Best of luck to you and find yourself a good reputable mortgage lender to guide you through. I have recommendations if you need one.
I would reach out to
FAIRWAY INDEPENDENT MORTGAGE CORPORATION
Contact: Catherine Purcell
This problem would never affect your interest rate. It would determine if you can get the loan at all. If you are in the same line of work and just changing companies that is fine. If you are coming out of college that is reasonable. A stay at home Mom coming back into the work force or even unemployed are all understandable. As long as you are a W-2 employee. If you are self employed or W-2 but a commissioned person that is going to be trouble. Ask your loan officer what they have and make sure you let them know the answers to the questions you just asked. Hope this helps. If your credit income and assets are strong this does help your case also.