Competing with Gold is definitely hard, but I think the question is rather what you mean when you say hard. It won't happen within no time. If no other technology is about to pop up that thwarts Bitcoin's future plans, in my opinion it is a question of time.
We often say that we live in a digital world, but that doesn't apply equally to everyone. Certainly, the kids and youth from the richer countries do. If I look around in my family circle, the young are fully digital. Some of them know what Bitcoin is, but not how it works for obvious reasons. But the elderly are not yet fully digital and they may never be. But this transformation from an analog to the digital world is not only dependent on hardware and software, but also on the people interacting with it - the human agents so to say. We are seeing a whole new trend with all the digital agents now stepping into our lives. So far most of them have been instructed as to what to do and what not to do, but who knows, maybe soon AI will really be smarter and at least as intuitive as we are.
If this whole transformation keeps accelerating and the network of people that trusts technology like Bitcoin keeps expanding, I think the demand for Gold could decrease whereas the demand for a fully digital alternative would increase. So there is something like a natural process involved because older people who store a large part of their wealth in precious metals probably will keep it there until they die. It is understandable as for them this Bitcoin thing is way more mysterious and incomprehensible than Gold and silver. But the younger generations already tend to invest more of their total accumulated wealth in something like Bitcoin.
But Gold will be around and it will remain valuable for as long as there is no chemical process that allows for it to synthetically be produced and for as long as there is no other chemical molecule that can fulfill the functions gold fulfills in our society industrial sectors.
However, nobody yet knows what Bitcoin has cooking for it. We are still scratching the surface of the use cases that Bitcoin either directly or indirectly enables or initiates.