I looked at https://www.beamoonbaby.com on an iPhone 5s and I see some of the differences you mean.
It looks like the plugin (or other tool) you’re using to change the font of some of your elements is using a font that is not available on my phone – here’s the CSS it’s adding:
.gftitle_customized {
font-family: Symbol !important;
font-size: 55px !important;
font-style: normal !important;
font-weight: normal !important;
text-decoration: none !important;
text-shadow: 0 0 11px #0b1033 !important;
}
As I don’t have the font “Symbol” on my phone, the browser’s default fallback font is being displayed instead.
p.s. Just a tip: it’s always a good idea to post the link to your site with every question you post so it’s easier for volunteers to help. They look for unanswered questions within a big queue, so they may not see your other question where you posted the URL. ??