This is interesting.
I can see both sides of the argument here...particuarly with regards to those posters who feel it innappropiate for partners to 'move on ' as it were within an unacceptable time frame.
My partner left me and my 7wk old DD when she was seven weeks for another woman - a fact which he vehemently denies (presumably because he is embarrased? he prefers instead to claim they were friends, and that they got together after he left us).
He was taking my child to her sleep in her house when she was 3 months old, during his access vists. Her suggestion.
They bought a house together when our child was 10 months old.
They got married when our child was 22 months old, and the ow 'walked' down the aisle holding my DD.
One poster (maggieB, I think) said that she would be embarrased to be the partner of a man with such a small child. I have to agree with this sentiment, as I believe I would be also. However, was my exp's ow embarrassed? On the contrary, she has never, not even once, shown the slightest hint of sheepishness at the entire situation. In fact, she seems to have gloried in it - encouraging exp to harass me over various parenting issues, showing up at my DD's first birthday party and standing confidently before my friends and family.
I may be in danger of leading you to believe this woman to be a brash/loud/intellectually challenged harem of the first water. Quite the opposite; she is medical consultant in a hospital, quiet, demure, financially solvent.
She is also a parent herslf. This however, did not implore her to show me a shred of compassion.
As it stands, on an emotional level at least I have recovered greatly, and so the pain of seeing my daughter taken from in those early days and knowing where she going has somewhat faded. However, despite the outrage of my family and friends at the time, I will anever regret allowing my DD to go, because it has paid dividends in my child's relationship with her father. He is the one who will have to explain to our child that he was married to another woman by the time she was 22 months old, and s consequently, he can no longer deny that he was unfaithful. I have taken the proverbial high ground, however devasating it was for me at the time, and it was the right thing to do.
So, to conclude OP, yes, the child has a right to a relationship with her father - but please be realistic about the timeframe in which their family setup has dissolved, and the inevitable distress that this will have caused all parties.
You are not in a hurry.