You can sue even without a lawyer if you can't find one interested in taking this case (called suing "pro se"). The fundamental issue is, they are NOT automatically liable because you were at their office: they did not become responsible for making sure you did not fall just because you were there. Calling out to their staff, in a medical office, that you felt faint might be enought to make them responsible (since being aware of a medical problem or possibility of injury, a medical office should take reasonable steps to avoid harm), but you'd still have to show that they were not acting in a reasonable fashion. If the woman you spoke to, for example, was going to get a doctor in response to what you said, that would be a reasonable act, and they would not be liable because they were acting reasonably. (The law doesn't make them or anyone responsible simply because of an injury: there first must be a duty or obligation to act, and then secondly, they must have acted unreasonably carelessly--reasonable actions do not result in liability). So your case is far from a certain one, and that reduces the interest that attorneys have in taking it, since unless you were giving the lawyer a large upfront retainer (a large deposit against potential costs), if you don't win, they won't be paid--and lawyers don't volunteer their time (they are a business, like any other business). So you have a case that yes, it would be helpful to have an attorney for, but which may not be a good case, since it is very possible that they acted reasonably in response to what you said and so are not liable.
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