Gay and lesbian organisations fear the Ugandan anti-gay bill will encourage other governments to strengthen penalties, increase harassment, discourage people from taking HIV tests and make it impossible to live an openly gay life.
"Clawing back these basic rights and criminalising the expression of divergent views doesn't bode well for anyone in Uganda," said Maria Burnett of Human Rights Watch.
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A spokeswoman said that she is "determined to do all she can to have a happy and healthy child".
The delay - which has seen the patient confined to a hospital bed for 1,338 days - has been described as "truly scandalous".
A toy dinosaur and a striped blanket the baby was wrapped in when it was born were among the items stolen.