For goodness' sake, some of you seem to think that the OP is considering cutting off her child's right arm rather than delaying her school start by a year or two while home educating her!
"You would need to have rigorous arrangements, not only for the academic side of education but for her social and emtotional development too. In my opinion it would be harder for your daughter to join an established group at your preferred school having been at home with you for a year, than if she'd been to a 'satisfactory' school for the same time."
A four or five year old does not need "rigorous" arrangements in place to ensure she develops academically, socially and emotionally. Children grow and learn well at home too, as can be seen in their first three or four years. They do not suddenly lose the ability to learn things under their own steam when they reach school age. The OP's daughter has experience already of attending a large group (namely nursery) without her mum. School would be very ill-suited to the needs of children if they needed continuous exposure to the school environment in order to cope with it, rather than being able to rejoin it easily after a year out. Many of the home educated kids I know do go in and out of school over the years, and find it no more difficult than children who move house and change schools.
"Have you considered that your stubbornness could hold your DD back educationally? You state your DD is bright, and I'm sure she is, but you are prepared to delay her education because you can't get the exact school you want. Is that really wise? What happens if she misses out again? Will you continue to hold her out of school indefinitely?"
Home education is not delayed education. 
"I'm a bit concerned about the realities of home educating with a baby and a husband who is unwell."
A great many people do it successfully. Children spend most of their time learning, whether or not they are being taught. Even parents who prefer a formal approach find that one-to-one attention means that teaching takes very little time, especially in the early years. Did you know that if a child is off school with a long-term illness, the LA is obliged to provide a minimum of just five hours of tutoring a week? Tutors say that is plenty to keep the child caught up with the rest of the class. School drop-off and pick-up alone would probably take five hours a week. And unless dad is very ill indeed, he is also on hand, part of the time anyway, to chat with his daughter about why tigers have sharp teeth and what happened to the puddle which disappeared from the front path.
"You can home educate her but if you do the LA may want to check that you are giving an adequate education."
True, but the legal status of these routine checks is dubious. The LA's only clear duty with respect to home education is to intervene if there is evidence that the education is unsatisfactory. To argue that they must carry out routine checks in order to establish whether this is the case is similar to arguing that SS must carry out routine checks on all children in the area to establish whether any of them are being mistreated.
Even if one is prepared to accept that the LA has the right to information about a child's education on a one-off basis, it's very easy to provide this information. We aren't talking about timetables and reading tests. A few pages describing the educational approach should be plenty. Parents can follow a wide variety of approaches, including child-led learning or learning through play.
helenbicari, I think you are likely to get your daughter into a school which is acceptable to you before she reaches compulsory education age. But if you don't, feel free to drop in at the home education board to chat. It sounds like you already have confidence in your ability to educate your child anyway and aren't going to be put off by those who think it is a bad idea!