The correct option is D as
The given sentence is about a person who loves hobbies, "painting and dancing" are those hobbies, these are example, hence a phrase is required that introduces these examples. From the options, 'as' is most suitable, when it's paired with "such", the combined meaning of 'such as' is to introduce one or more examples of something we've mentioned, here it introduces the hobbies, painting and dancing. Hence option B is correct. 'That' when paired with 'such' refers to an extent of something as in 'It was such an interesting story that I finished reading it in one sitting'. It does not refer to an example, hence option A is incorrect. 'If' refers to a condition, a hypothetical situation that may or may not be true as in 'I'll go if you come with me'. There isn't any hypothetical situation here, and 'if' doesn't pair up with 'such' as they have different meanings, hence option C is incorrect. 'Or' is used to present a choice between two things 'this or that', there isn't a choice between the hobbies in this sentence, hence it can't be paired with 'such' and option D is incorrect.