No, the seed will not germinate.

how long do I have to wait and what kind of fertilizer can I use next time that will not deter seed ?

4 months.

Ok so I have to wait 4 months Ugh. What kind of Lawn food can I use that will not impede the seed from sprouting ?

Look for fertilizers that do not contain weed killers or pre-emergents. Do not apply a weed killer or pre-emergent when seeding is planned. Always read the label for package contents and advisories. For fertilizing at the time of seeding, look for "starter fertilizers." When you need a weed killer or pre-emergent when you are seeding or planning on seeding, use a product containing mesotrione.