1. Stable employment with income for at least two years

Generally, you should be able to prove a stable income for at least two years to qualify for an FHA loan in Connecticut. Ideally, your income source is from a single employer, which is favored as a more reliable source of income.

2. Good credit

A credit score of over 580 in this case is generally considered a good credit score. Although not essential for qualifying for an FHA loan, a good credit score will certainly help. In cases where you have a lower credit score than 580, you should be able to place a larger down payment on the mortgage, as high as 10%. 

3. No foreclosure on a property in the last 3 years

FHA Loans are known to have a more flexible approach to mortgage loan requirements, but no matter what type of loan you are seeking to obtain, a recent foreclosure will always raise a concern with the loan provider.

4. No bankruptcy in the past 2 years

Similar to having experienced a foreclosure, bankruptcy can signal a concern especially for a government-backed mortgage loan like an FHA loan. If you've undergone bankruptcy in the past two years, you may want to consider postponing your search for a mortgage loan.

5. FICO score greater than 500

Like having a good credit score, having a FICO score above 500 will signal to the Federal Housing Administration (FHA) that you are financially sound and a reliable person to offer a loan to. As previously mentioned in this article, FHA loans are generally known for being flexible, so this number is less of a hard line and more of a guideline.
Don't know your FICO score? Sources like Experian allow you to check your FICO scorer free of charge in most cases.

6. Loan being taken out for a primary residence occupancy

FHA Loans are intended for people searching to buy a home as their primary residence of occupancy. While there are some caveats to this rule, and the guidelines change depending on state, it's generally a good rule of thumb that you should be applying for an FHA Loan with the intent to purchase a primary residence house.
Sources: 
USA Gov: https://www.usa.gov/agencies/federal-housing-administration

U.S. Department of Housing and Urban Development: https://www.hud.gov/buying/loans