What's wrong with hospital staff refusing to perform procedures that they find morally objectionable?
Ask the legal bucketheads at the European Union:
Slovak-Vatican abortion deal criticised by EU experts
Slovakia has been challenged by EU legal experts over an agreement with the Vatican, aimed at reducing the number of abortions in the country...The EU’s Network of Independent Experts on Fundamental Rights, a group of member state analysts created by the European Commission, has indicated Slovakia could be "violating its obligations" as an EU member, according to the UK paper.
The Slovak-Vatican "concordat" would enable health workers in hospitals founded by the catholic church to refer to "conscience" grounds in saying no to women demanding abortion or in vitro fertilisation (IVF)...
The EU legal panel said that in principle "certain religious organisations" should have the right not to perform "certain activities where this would conflict with [their] ethos or belief."
However, the experts added "It is important the exercise of this right does not conflict with the rights of others, including the right of all women to receive certain medical services or counselling without any discrimination."
It's typical that some unelected panel picked by officials in Brussels is behind this. What they can't get through democratic means they want to impose on the member states.