It depends. Generally speaking, if you have income in Maryland (including rental income), and you are required to file a Federal Return, you are required to file a Maryland nonresident return. This website has additional information: http://taxes.marylandtaxes.com/Individual_Taxes/Individual_Tax_Types/Income_Tax/Filing_Information/D... and includes a link for the Nonresident Instruction manual (on pages 4 and 5 of the manual, more information is given on the filing requirements).
However, if your rental produced a loss, the income is not requried to be reported to Maryland.
If you do need to file a MD return, you will wish to prepare the MD return first in TurboTax. Delaware will tax the same income but will give you a credit for the tax you must pay to MD on the same income. Here is an FAQ to assist you with a Nonresident Return: https://ttlc.intuit.com/replies/3302052
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