First Time Buyers, 1 with Excellent credit, 1 with poor? will we get a mortgage?

My boyfriend and I are now considering our first home. His credit is excellent and he has savings in the bank to cover a deposit. My credit is poor and I have a DMP (debt management plan) running. My total debts are only £4000ish, but will the DMP put lenders off giving us a mortgage?
We both earn a decent wage and work full time?

When they weigh everything up, will the good points (good incomes, deposit saved) outway my poor credit?

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